TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Milena D.
AU  - Davidović, Ljubica D.
AU  - Davidović, Miloš D.
AU  - Davidović, Dragomir M.
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9164
AB  - We consider the system of N two-level atoms, of which N0 atoms are unexcited and N1 are excited. This system of N two-level atoms, which forms a linear quantum amplifier, interacts with a single-mode electromagnetic field. The problem of amplification of the L-photon states using such an amplifier is studied. The evolution of the electromagnetic field density matrix is described by the master equation for the field under amplification. The dynamics of this process is such that it can be described as the transformation of the scale of the phase space. The exact solution of the master equation is expressed using the transformed Husimi function of the L-quantum state of the harmonic oscillator. The properties of this function are studied and using it the average photon number and its fluctuations in the amplified state are found. © 2021, Editura Academiei Romane. All rights reserved.
T2  - Romanian Reports in Physics
T1  - Properties of the quantum state arising after the L-photon state has passed trough a linear quantum amplifier
VL  - 73
IS  - 1
SP  - 102
UR  - https://hdl.handle.net/21.15107/rcub_vinar_9164
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Milena D. and Davidović, Ljubica D. and Davidović, Miloš D. and Davidović, Dragomir M.",
year = "2021",
abstract = "We consider the system of N two-level atoms, of which N0 atoms are unexcited and N1 are excited. This system of N two-level atoms, which forms a linear quantum amplifier, interacts with a single-mode electromagnetic field. The problem of amplification of the L-photon states using such an amplifier is studied. The evolution of the electromagnetic field density matrix is described by the master equation for the field under amplification. The dynamics of this process is such that it can be described as the transformation of the scale of the phase space. The exact solution of the master equation is expressed using the transformed Husimi function of the L-quantum state of the harmonic oscillator. The properties of this function are studied and using it the average photon number and its fluctuations in the amplified state are found. © 2021, Editura Academiei Romane. All rights reserved.",
journal = "Romanian Reports in Physics",
title = "Properties of the quantum state arising after the L-photon state has passed trough a linear quantum amplifier",
volume = "73",
number = "1",
pages = "102",
url = "https://hdl.handle.net/21.15107/rcub_vinar_9164"
}

Andreev, V. A., Davidović, M. D., Davidović, L. D., Davidović, M. D.,& Davidović, D. M.. (2021). Properties of the quantum state arising after the L-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics, 73(1), 102.
https://hdl.handle.net/21.15107/rcub_vinar_9164

Andreev VA, Davidović MD, Davidović LD, Davidović MD, Davidović DM. Properties of the quantum state arising after the L-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics. 2021;73(1):102.
https://hdl.handle.net/21.15107/rcub_vinar_9164 .

Andreev, Vladimir A., Davidović, Milena D., Davidović, Ljubica D., Davidović, Miloš D., Davidović, Dragomir M., "Properties of the quantum state arising after the L-photon state has passed trough a linear quantum amplifier" in Romanian Reports in Physics, 73, no. 1 (2021):102,
https://hdl.handle.net/21.15107/rcub_vinar_9164 .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Milena D.
AU  - Davidović, Ljubica D.
AU  - Davidović, Miloš D.
AU  - Davidović, Dragomir M.
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8628
AB  - We consider a linear quantum amplifier consisting of NA two-level atoms and study the problem of amplification of N-photon states. The N-photon states are associated with N-quantum states of the harmonic oscillator. We show that the process of interaction of the electromagnetic field with atoms can be associated with some transformation of the phase space and functions defined on this phase space. We consider the Husimi functions QN(q, p) of N-quantum states of the harmonic oscillator, which are defined on the phase space, investigate transformation of these functions, and find an explicit form of the density matrix of the amplified N-photon state. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
T2  - Journal of Russian Laser Research
T1  - Linear Light Amplifier and Amplification of N-Photon States
VL  - 40
IS  - 4
SP  - 321
EP  - 327
DO  - 10.1007/s10946-019-09807-2
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Milena D. and Davidović, Ljubica D. and Davidović, Miloš D. and Davidović, Dragomir M.",
year = "2019",
abstract = "We consider a linear quantum amplifier consisting of NA two-level atoms and study the problem of amplification of N-photon states. The N-photon states are associated with N-quantum states of the harmonic oscillator. We show that the process of interaction of the electromagnetic field with atoms can be associated with some transformation of the phase space and functions defined on this phase space. We consider the Husimi functions QN(q, p) of N-quantum states of the harmonic oscillator, which are defined on the phase space, investigate transformation of these functions, and find an explicit form of the density matrix of the amplified N-photon state. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.",
journal = "Journal of Russian Laser Research",
title = "Linear Light Amplifier and Amplification of N-Photon States",
volume = "40",
number = "4",
pages = "321-327",
doi = "10.1007/s10946-019-09807-2"
}

Andreev, V. A., Davidović, M. D., Davidović, L. D., Davidović, M. D.,& Davidović, D. M.. (2019). Linear Light Amplifier and Amplification of N-Photon States. in Journal of Russian Laser Research, 40(4), 321-327.
https://doi.org/10.1007/s10946-019-09807-2

Andreev VA, Davidović MD, Davidović LD, Davidović MD, Davidović DM. Linear Light Amplifier and Amplification of N-Photon States. in Journal of Russian Laser Research. 2019;40(4):321-327.
doi:10.1007/s10946-019-09807-2 .

Andreev, Vladimir A., Davidović, Milena D., Davidović, Ljubica D., Davidović, Miloš D., Davidović, Dragomir M., "Linear Light Amplifier and Amplification of N-Photon States" in Journal of Russian Laser Research, 40, no. 4 (2019):321-327,
https://doi.org/10.1007/s10946-019-09807-2 . .

TY  - CONF
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
AU  - Davidović, Ljubica D.
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10941
AB  - Many real-world signals, occurring in everyday engineering practice are non-stationary, and as a result, their frequency components may change gradually or abruptly over time. Such signals are typically analyzed using Fourier transform, however, this type of analysis is often not sufficient to reveal the true nature of localized (in time) frequency content. This is where time-frequency analysis (TFA) can be of great help. Several approaches of TFA exist, and in this paper we use Husimi function (Gaussian smoothed Wigner function) for this purpose [1,2,3]. Both the Wigner and Husimi functions are the phase space quasidistributions in quantum mechanics [4,5]. In quantum mechanics, Husimi function of a quantum mechanical state arises when simultaneous measurement of quantum conjugated observables - coordinate and momentum, is performed. Similarly, in signal analysis, conjugated variables are time and frequency. If the measurement has the highest physically possible accuracy (as dictated by the Heisenberg uncertainty relations), then the product of standard deviations of conjugated observables equals  2 and Gaussian smoothed Wigner function for in such a way chosen parameters is known as a Husimi function (HF) [2,5]. In this paper, characteristic signals which describe behavior of several devices used in optics, microwave engineering and plasmonics were obtained via 3D electromagnetic numerical simulations. These signals, and their time and frequency evolution, were then analyzed using specifically tailored HF.
PB  - Belgrade : Institute of Physics Belgrade
C3  - PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts
T1  - Husimi function for time-frequency analysis in optical, microwave and plasmonics aplications
SP  - 59
UR  - https://hdl.handle.net/21.15107/rcub_vinar_10941
ER  - 

@conference{
author = "Davidović, Milena D. and Davidović, Miloš D. and Davidović, Ljubica D. and Andreev, Vladimir A. and Davidović, Dragomir M.",
year = "2017",
abstract = "Many real-world signals, occurring in everyday engineering practice are non-stationary, and as a result, their frequency components may change gradually or abruptly over time. Such signals are typically analyzed using Fourier transform, however, this type of analysis is often not sufficient to reveal the true nature of localized (in time) frequency content. This is where time-frequency analysis (TFA) can be of great help. Several approaches of TFA exist, and in this paper we use Husimi function (Gaussian smoothed Wigner function) for this purpose [1,2,3]. Both the Wigner and Husimi functions are the phase space quasidistributions in quantum mechanics [4,5]. In quantum mechanics, Husimi function of a quantum mechanical state arises when simultaneous measurement of quantum conjugated observables - coordinate and momentum, is performed. Similarly, in signal analysis, conjugated variables are time and frequency. If the measurement has the highest physically possible accuracy (as dictated by the Heisenberg uncertainty relations), then the product of standard deviations of conjugated observables equals  2 and Gaussian smoothed Wigner function for in such a way chosen parameters is known as a Husimi function (HF) [2,5]. In this paper, characteristic signals which describe behavior of several devices used in optics, microwave engineering and plasmonics were obtained via 3D electromagnetic numerical simulations. These signals, and their time and frequency evolution, were then analyzed using specifically tailored HF.",
publisher = "Belgrade : Institute of Physics Belgrade",
journal = "PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts",
title = "Husimi function for time-frequency analysis in optical, microwave and plasmonics aplications",
pages = "59",
url = "https://hdl.handle.net/21.15107/rcub_vinar_10941"
}

Davidović, M. D., Davidović, M. D., Davidović, L. D., Andreev, V. A.,& Davidović, D. M.. (2017). Husimi function for time-frequency analysis in optical, microwave and plasmonics aplications. in PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts
Belgrade : Institute of Physics Belgrade., 59.
https://hdl.handle.net/21.15107/rcub_vinar_10941

Davidović MD, Davidović MD, Davidović LD, Andreev VA, Davidović DM. Husimi function for time-frequency analysis in optical, microwave and plasmonics aplications. in PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts. 2017;:59.
https://hdl.handle.net/21.15107/rcub_vinar_10941 .

Davidović, Milena D., Davidović, Miloš D., Davidović, Ljubica D., Andreev, Vladimir A., Davidović, Dragomir M., "Husimi function for time-frequency analysis in optical, microwave and plasmonics aplications" in PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts (2017):59,
https://hdl.handle.net/21.15107/rcub_vinar_10941 .

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1685
AB  - We consider scale transformations (q, p) - GT (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.
T2  - Theoretical and Mathematical Physics
T1  - Scale Transformations in Phase Space and Stretched States of a Harmonic Oscillator
VL  - 192
IS  - 1
SP  - 1080
EP  - 1096
DO  - 10.1134/S0040577917070091
ER  - 

@article{
author = "Andreev, V. A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena D. and Davidović, Miloš D.",
year = "2017",
abstract = "We consider scale transformations (q, p) - GT (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.",
journal = "Theoretical and Mathematical Physics",
title = "Scale Transformations in Phase Space and Stretched States of a Harmonic Oscillator",
volume = "192",
number = "1",
pages = "1080-1096",
doi = "10.1134/S0040577917070091"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D.,& Davidović, M. D.. (2017). Scale Transformations in Phase Space and Stretched States of a Harmonic Oscillator. in Theoretical and Mathematical Physics, 192(1), 1080-1096.
https://doi.org/10.1134/S0040577917070091

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović MD. Scale Transformations in Phase Space and Stretched States of a Harmonic Oscillator. in Theoretical and Mathematical Physics. 2017;192(1):1080-1096.
doi:10.1134/S0040577917070091 .

Andreev, V. A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena D., Davidović, Miloš D., "Scale Transformations in Phase Space and Stretched States of a Harmonic Oscillator" in Theoretical and Mathematical Physics, 192, no. 1 (2017):1080-1096,
https://doi.org/10.1134/S0040577917070091 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
AU  - Zotov, Sergey D.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1310
AB  - We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - GT (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.
T2  - Journal of Russian Laser Research
T1  - Scaling Transform and Stretched States in Quantum Mechanics
VL  - 37
IS  - 5
SP  - 434
EP  - 439
DO  - 10.1007/s10946-016-9594-4
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena D. and Davidović, Miloš D. and Zotov, Sergey D.",
year = "2016",
abstract = "We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - GT (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.",
journal = "Journal of Russian Laser Research",
title = "Scaling Transform and Stretched States in Quantum Mechanics",
volume = "37",
number = "5",
pages = "434-439",
doi = "10.1007/s10946-016-9594-4"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D., Davidović, M. D.,& Zotov, S. D.. (2016). Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research, 37(5), 434-439.
https://doi.org/10.1007/s10946-016-9594-4

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović MD, Zotov SD. Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research. 2016;37(5):434-439.
doi:10.1007/s10946-016-9594-4 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena D., Davidović, Miloš D., Zotov, Sergey D., "Scaling Transform and Stretched States in Quantum Mechanics" in Journal of Russian Laser Research, 37, no. 5 (2016):434-439,
https://doi.org/10.1007/s10946-016-9594-4 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, N.
AU  - Davidović, Dragomir M.
AU  - Prvanovic, S.
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5452
AB  - Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation.
T2  - Foundations of Physics
T1  - Lagrangian form of Schrodinger equation
VL  - 44
IS  - 7
SP  - 725
EP  - 735
DO  - 10.1007/s10701-014-9810-4
ER  - 

@article{
author = "Arsenović, Dušan and Buric, N. and Davidović, Dragomir M. and Prvanovic, S.",
year = "2014",
abstract = "Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation.",
journal = "Foundations of Physics",
title = "Lagrangian form of Schrodinger equation",
volume = "44",
number = "7",
pages = "725-735",
doi = "10.1007/s10701-014-9810-4"
}

Arsenović, D., Buric, N., Davidović, D. M.,& Prvanovic, S.. (2014). Lagrangian form of Schrodinger equation. in Foundations of Physics, 44(7), 725-735.
https://doi.org/10.1007/s10701-014-9810-4

Arsenović D, Buric N, Davidović DM, Prvanovic S. Lagrangian form of Schrodinger equation. in Foundations of Physics. 2014;44(7):725-735.
doi:10.1007/s10701-014-9810-4 .

Arsenović, Dušan, Buric, N., Davidović, Dragomir M., Prvanovic, S., "Lagrangian form of Schrodinger equation" in Foundations of Physics, 44, no. 7 (2014):725-735,
https://doi.org/10.1007/s10701-014-9810-4 . .

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena D.
AU  - Man'ko, V. I.
AU  - Man'ko, M. A.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4443
AB  - We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - GT (lambda q, lambda p). We prove a theorem that under this transformation, the Husimi function of a physical state is transformed into a function that is also a Husimi function of some physical state. Therefore, the scale transformation defines a positive map of density operators. We investigate the relation of Husimi functions to Wigner functions and symplectic tomograms and establish how they transform under the scale transformation. As an example, we consider the harmonic oscillator and show how its states transform under the scale transformation.
T2  - Theoretical and Mathematical Physics
T1  - A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms
VL  - 166
IS  - 3
SP  - 356
EP  - 368
DO  - 10.1007/s11232-011-0028-8
ER  - 

@article{
author = "Andreev, V. A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena D. and Man'ko, V. I. and Man'ko, M. A.",
year = "2011",
abstract = "We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - GT (lambda q, lambda p). We prove a theorem that under this transformation, the Husimi function of a physical state is transformed into a function that is also a Husimi function of some physical state. Therefore, the scale transformation defines a positive map of density operators. We investigate the relation of Husimi functions to Wigner functions and symplectic tomograms and establish how they transform under the scale transformation. As an example, we consider the harmonic oscillator and show how its states transform under the scale transformation.",
journal = "Theoretical and Mathematical Physics",
title = "A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms",
volume = "166",
number = "3",
pages = "356-368",
doi = "10.1007/s11232-011-0028-8"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D., Man'ko, V. I.,& Man'ko, M. A.. (2011). A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms. in Theoretical and Mathematical Physics, 166(3), 356-368.
https://doi.org/10.1007/s11232-011-0028-8

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Man'ko VI, Man'ko MA. A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms. in Theoretical and Mathematical Physics. 2011;166(3):356-368.
doi:10.1007/s11232-011-0028-8 .

Andreev, V. A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena D., Man'ko, V. I., Man'ko, M. A., "A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms" in Theoretical and Mathematical Physics, 166, no. 3 (2011):356-368,
https://doi.org/10.1007/s11232-011-0028-8 . .

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena D.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6898
AB  - Husimi Q-functions are the only functions from the class of Cohen quasi-distributions on phase space that after scaling transformation (q, p) - GT (lambda q, lambda p) remain in the same class when the modulus of the scaling parameter is smaller than unity and so, in this case, describe a physical state. We found the Wigner functions and symplectic tomograms of such states. We applied the obtained general results to the Fock states of the harmonic oscillator.
T2  - Physica Scripta
T1  - Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states
VL  - T143
DO  - 10.1088/0031-8949/2011/T143/014003
ER  - 

@article{
author = "Andreev, V. A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena D.",
year = "2011",
abstract = "Husimi Q-functions are the only functions from the class of Cohen quasi-distributions on phase space that after scaling transformation (q, p) - GT (lambda q, lambda p) remain in the same class when the modulus of the scaling parameter is smaller than unity and so, in this case, describe a physical state. We found the Wigner functions and symplectic tomograms of such states. We applied the obtained general results to the Fock states of the harmonic oscillator.",
journal = "Physica Scripta",
title = "Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states",
volume = "T143",
doi = "10.1088/0031-8949/2011/T143/014003"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D.,& Davidović, M. D.. (2011). Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states. in Physica Scripta, T143.
https://doi.org/10.1088/0031-8949/2011/T143/014003

Andreev VA, Davidović DM, Davidović LD, Davidović MD. Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states. in Physica Scripta. 2011;T143.
doi:10.1088/0031-8949/2011/T143/014003 .

Andreev, V. A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena D., "Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states" in Physica Scripta, T143 (2011),
https://doi.org/10.1088/0031-8949/2011/T143/014003 . .

TY  - JOUR
AU  - Vojisavljevic, V.
AU  - Pirogova, E.
AU  - Davidović, Dragomir M.
AU  - Cosic, I.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4226
AB  - A number of biotechnology applications are based on protein design. For this design, the relationship between a proteins primary structure and its conformation is of vital importance. A beta-sheet is a common feature of a proteins two-dimensional structure; therefore, elucidating the principles governing beta-sheet structure and its stability is critical for understanding the protein-folding process. In the three-dimensional representation of protein molecules, C(alpha) carbon coordinates (carbon atom immediately adjacent to the carboxylate group) have often been employed instead of the complete set of coordinates for the corresponding residues. Using the C(alpha) carbon coordinates, we showed that particular amino acids are not randomly distributed within a beta-sheet structure. On the basis of a new statistical approach for the analysis of a spatial distribution of amino acids in a protein, presented by their physico-chemical parameters, the electron-ion interaction potential (EIIP) and hydrophobicity, are described here. The relationship between amino acid positions inside the beta-sheet and the EIIP and hydrophobicity parameters was established. The correlation between amino acid propensities related to the beta-sheet was examined using multiple cross-spectra analysis. We also applied the continuous wavelet transform for the analysis of selected beta-sheet structures using the EIIP and hydrophobicity parameters. The findings provide new insight into conformational propensities of amino acids for the adaption of beta-sheet structures.
T2  - Proceedings of the Royal Society. A: Mathematical, Physical and Engineering Sciences
T1  - Hybrid approach to analysis of beta-sheet structures based on signal processing and statistical consideration
VL  - 467
IS  - 2128
SP  - 1052
EP  - 1072
DO  - 10.1098/rspa.2010.0382
ER  - 

@article{
author = "Vojisavljevic, V. and Pirogova, E. and Davidović, Dragomir M. and Cosic, I.",
year = "2011",
abstract = "A number of biotechnology applications are based on protein design. For this design, the relationship between a proteins primary structure and its conformation is of vital importance. A beta-sheet is a common feature of a proteins two-dimensional structure; therefore, elucidating the principles governing beta-sheet structure and its stability is critical for understanding the protein-folding process. In the three-dimensional representation of protein molecules, C(alpha) carbon coordinates (carbon atom immediately adjacent to the carboxylate group) have often been employed instead of the complete set of coordinates for the corresponding residues. Using the C(alpha) carbon coordinates, we showed that particular amino acids are not randomly distributed within a beta-sheet structure. On the basis of a new statistical approach for the analysis of a spatial distribution of amino acids in a protein, presented by their physico-chemical parameters, the electron-ion interaction potential (EIIP) and hydrophobicity, are described here. The relationship between amino acid positions inside the beta-sheet and the EIIP and hydrophobicity parameters was established. The correlation between amino acid propensities related to the beta-sheet was examined using multiple cross-spectra analysis. We also applied the continuous wavelet transform for the analysis of selected beta-sheet structures using the EIIP and hydrophobicity parameters. The findings provide new insight into conformational propensities of amino acids for the adaption of beta-sheet structures.",
journal = "Proceedings of the Royal Society. A: Mathematical, Physical and Engineering Sciences",
title = "Hybrid approach to analysis of beta-sheet structures based on signal processing and statistical consideration",
volume = "467",
number = "2128",
pages = "1052-1072",
doi = "10.1098/rspa.2010.0382"
}

Vojisavljevic, V., Pirogova, E., Davidović, D. M.,& Cosic, I.. (2011). Hybrid approach to analysis of beta-sheet structures based on signal processing and statistical consideration. in Proceedings of the Royal Society. A: Mathematical, Physical and Engineering Sciences, 467(2128), 1052-1072.
https://doi.org/10.1098/rspa.2010.0382

Vojisavljevic V, Pirogova E, Davidović DM, Cosic I. Hybrid approach to analysis of beta-sheet structures based on signal processing and statistical consideration. in Proceedings of the Royal Society. A: Mathematical, Physical and Engineering Sciences. 2011;467(2128):1052-1072.
doi:10.1098/rspa.2010.0382 .

Vojisavljevic, V., Pirogova, E., Davidović, Dragomir M., Cosic, I., "Hybrid approach to analysis of beta-sheet structures based on signal processing and statistical consideration" in Proceedings of the Royal Society. A: Mathematical, Physical and Engineering Sciences, 467, no. 2128 (2011):1052-1072,
https://doi.org/10.1098/rspa.2010.0382 . .

TY  - JOUR
AU  - Redzic, D. V.
AU  - Davidović, Dragomir M.
AU  - Redzic, M. D.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4399
AB  - The correct general form of relativistic transformation equations for the three-vector force is derived without using four-vectors, via the relativistic Newtons second law. The four-vector approach to the problem is also presented. The derivations extend or rectify previous derivations.
T2  - Journal of Electromagnetic Waves and Applications
T1  - Derivations of Relativistic Force Transformation Equations
VL  - 25
IS  - 8-9
SP  - 1146
EP  - 1155
UR  - https://hdl.handle.net/21.15107/rcub_vinar_4399
ER  - 

@article{
author = "Redzic, D. V. and Davidović, Dragomir M. and Redzic, M. D.",
year = "2011",
abstract = "The correct general form of relativistic transformation equations for the three-vector force is derived without using four-vectors, via the relativistic Newtons second law. The four-vector approach to the problem is also presented. The derivations extend or rectify previous derivations.",
journal = "Journal of Electromagnetic Waves and Applications",
title = "Derivations of Relativistic Force Transformation Equations",
volume = "25",
number = "8-9",
pages = "1146-1155",
url = "https://hdl.handle.net/21.15107/rcub_vinar_4399"
}

Redzic, D. V., Davidović, D. M.,& Redzic, M. D.. (2011). Derivations of Relativistic Force Transformation Equations. in Journal of Electromagnetic Waves and Applications, 25(8-9), 1146-1155.
https://hdl.handle.net/21.15107/rcub_vinar_4399

Redzic DV, Davidović DM, Redzic MD. Derivations of Relativistic Force Transformation Equations. in Journal of Electromagnetic Waves and Applications. 2011;25(8-9):1146-1155.
https://hdl.handle.net/21.15107/rcub_vinar_4399 .

Redzic, D. V., Davidović, Dragomir M., Redzic, M. D., "Derivations of Relativistic Force Transformation Equations" in Journal of Electromagnetic Waves and Applications, 25, no. 8-9 (2011):1146-1155,
https://hdl.handle.net/21.15107/rcub_vinar_4399 .

TY  - JOUR
AU  - Stanković, Srboljub
AU  - Ilić, Radovan D.
AU  - Davidović, Dragomir M.
AU  - Petrović, Milica S.
AU  - Tadić, Srđan
AU  - Kovačević, Milojko
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6798
AB  - Titanium alloys have found numerous applications in space research, and nuclear industry and research. Since X-rays constitute an important part of the space radiation environment, numerical simulations of radiation absorption characteristics of titanium alloys were studied in this paper. The photon transport Monte Carlo software was used for determining the energy deposited in titanium samples. The numerical results show the pronounced dependence of radiation absorption properties of different combinations of components in alloy. The results obtained are encouraging in respect of optimization of structure of alloys regarding their required features in radiation shielding.
T2  - Acta Physica Polonica A
T1  - Radiation Absorption Characteristics of Titanium Alloys
VL  - 115
IS  - 4
SP  - 820
EP  - 822
DO  - 10.12693/APhysPolA.115.820
ER  - 

@article{
author = "Stanković, Srboljub and Ilić, Radovan D. and Davidović, Dragomir M. and Petrović, Milica S. and Tadić, Srđan and Kovačević, Milojko",
year = "2009",
abstract = "Titanium alloys have found numerous applications in space research, and nuclear industry and research. Since X-rays constitute an important part of the space radiation environment, numerical simulations of radiation absorption characteristics of titanium alloys were studied in this paper. The photon transport Monte Carlo software was used for determining the energy deposited in titanium samples. The numerical results show the pronounced dependence of radiation absorption properties of different combinations of components in alloy. The results obtained are encouraging in respect of optimization of structure of alloys regarding their required features in radiation shielding.",
journal = "Acta Physica Polonica A",
title = "Radiation Absorption Characteristics of Titanium Alloys",
volume = "115",
number = "4",
pages = "820-822",
doi = "10.12693/APhysPolA.115.820"
}

Stanković, S., Ilić, R. D., Davidović, D. M., Petrović, M. S., Tadić, S.,& Kovačević, M.. (2009). Radiation Absorption Characteristics of Titanium Alloys. in Acta Physica Polonica A, 115(4), 820-822.
https://doi.org/10.12693/APhysPolA.115.820

Stanković S, Ilić RD, Davidović DM, Petrović MS, Tadić S, Kovačević M. Radiation Absorption Characteristics of Titanium Alloys. in Acta Physica Polonica A. 2009;115(4):820-822.
doi:10.12693/APhysPolA.115.820 .

Stanković, Srboljub, Ilić, Radovan D., Davidović, Dragomir M., Petrović, Milica S., Tadić, Srđan, Kovačević, Milojko, "Radiation Absorption Characteristics of Titanium Alloys" in Acta Physica Polonica A, 115, no. 4 (2009):820-822,
https://doi.org/10.12693/APhysPolA.115.820 . .

TY  - JOUR
AU  - Stanković, Srboljub
AU  - Ilić, Radovan D.
AU  - Davidović, Dragomir M.
AU  - Petrović, Milica S.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6797
AB  - The use of diamond as material for X-ray detector is subject of investigation and practice in radiotherapy, space and material science and technology. This paper presents the results of application of Monte Carlo method for simulation of photon transport through diamond detector. The aim is restitution and demonstrating of numerical technique for characterization of electrical properties for different detector conditions and configurations. Monte Carlo code was adopted to determine the energy deposited and dose distribution in the structure of diamond detector. Our results show that the use of numerical simulations may be of essential help in design of diamond detector systems.
T2  - Acta Physica Polonica A
T1  - Characterization of X-Ray Diamond Detector by Monte Carlo Method
VL  - 115
IS  - 4
SP  - 816
EP  - 819
DO  - 10.12693/APhysPolA.115.816
ER  - 

@article{
author = "Stanković, Srboljub and Ilić, Radovan D. and Davidović, Dragomir M. and Petrović, Milica S.",
year = "2009",
abstract = "The use of diamond as material for X-ray detector is subject of investigation and practice in radiotherapy, space and material science and technology. This paper presents the results of application of Monte Carlo method for simulation of photon transport through diamond detector. The aim is restitution and demonstrating of numerical technique for characterization of electrical properties for different detector conditions and configurations. Monte Carlo code was adopted to determine the energy deposited and dose distribution in the structure of diamond detector. Our results show that the use of numerical simulations may be of essential help in design of diamond detector systems.",
journal = "Acta Physica Polonica A",
title = "Characterization of X-Ray Diamond Detector by Monte Carlo Method",
volume = "115",
number = "4",
pages = "816-819",
doi = "10.12693/APhysPolA.115.816"
}

Stanković, S., Ilić, R. D., Davidović, D. M.,& Petrović, M. S.. (2009). Characterization of X-Ray Diamond Detector by Monte Carlo Method. in Acta Physica Polonica A, 115(4), 816-819.
https://doi.org/10.12693/APhysPolA.115.816

Stanković S, Ilić RD, Davidović DM, Petrović MS. Characterization of X-Ray Diamond Detector by Monte Carlo Method. in Acta Physica Polonica A. 2009;115(4):816-819.
doi:10.12693/APhysPolA.115.816 .

Stanković, Srboljub, Ilić, Radovan D., Davidović, Dragomir M., Petrović, Milica S., "Characterization of X-Ray Diamond Detector by Monte Carlo Method" in Acta Physica Polonica A, 115, no. 4 (2009):816-819,
https://doi.org/10.12693/APhysPolA.115.816 . .

TY  - JOUR
AU  - Keković, Goran
AU  - Raković, Dejan
AU  - Davidović, Dragomir M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6796
AB  - A theoretical model for calculation of equilibrium concentrations of isomeric butane molecule forms, and also the forms of hydrocarbons of the alkene series, is proposed. We considered the changes of internal rotational potential energy in respect of reaction coordinate, of rapid conversion of butane isomers from one form to another at room temperature. This is very important for better understanding of the nature of chemical reactions in butane, because the changes of internal rotational potential energy reflect conformational transitions of butane and changes of its chemical and physical properties. The presented model is based on Gribovs system of kinetic equations for isomer-isomer transitions. The canonical ensemble is used to calculate the room temperature probabilities of the rotoisomer conformational states as functions of dihedrial angle. and the obtained results are in good agreement with available ones. Also, in a sense of calculated lifetime of unstable rotoisomers ( LT 10(-10) s) our results are comparable with coupled cluster and density functional calculations on alkene derivatives.
T2  - Acta Physica Polonica A
T1  - Kinetics of Non-Radiative Rotational Isomer Butane Transitions
VL  - 115
IS  - 4
SP  - 775
EP  - 777
DO  - 10.12693/APhysPolA.115.775
ER  - 

@article{
author = "Keković, Goran and Raković, Dejan and Davidović, Dragomir M.",
year = "2009",
abstract = "A theoretical model for calculation of equilibrium concentrations of isomeric butane molecule forms, and also the forms of hydrocarbons of the alkene series, is proposed. We considered the changes of internal rotational potential energy in respect of reaction coordinate, of rapid conversion of butane isomers from one form to another at room temperature. This is very important for better understanding of the nature of chemical reactions in butane, because the changes of internal rotational potential energy reflect conformational transitions of butane and changes of its chemical and physical properties. The presented model is based on Gribovs system of kinetic equations for isomer-isomer transitions. The canonical ensemble is used to calculate the room temperature probabilities of the rotoisomer conformational states as functions of dihedrial angle. and the obtained results are in good agreement with available ones. Also, in a sense of calculated lifetime of unstable rotoisomers ( LT 10(-10) s) our results are comparable with coupled cluster and density functional calculations on alkene derivatives.",
journal = "Acta Physica Polonica A",
title = "Kinetics of Non-Radiative Rotational Isomer Butane Transitions",
volume = "115",
number = "4",
pages = "775-777",
doi = "10.12693/APhysPolA.115.775"
}

Keković, G., Raković, D.,& Davidović, D. M.. (2009). Kinetics of Non-Radiative Rotational Isomer Butane Transitions. in Acta Physica Polonica A, 115(4), 775-777.
https://doi.org/10.12693/APhysPolA.115.775

Keković G, Raković D, Davidović DM. Kinetics of Non-Radiative Rotational Isomer Butane Transitions. in Acta Physica Polonica A. 2009;115(4):775-777.
doi:10.12693/APhysPolA.115.775 .

Keković, Goran, Raković, Dejan, Davidović, Dragomir M., "Kinetics of Non-Radiative Rotational Isomer Butane Transitions" in Acta Physica Polonica A, 115, no. 4 (2009):775-777,
https://doi.org/10.12693/APhysPolA.115.775 . .

TY  - CONF
AU  - Vukanić, Jovan V.
AU  - Davidović, Dragomir M.
PY  - 2008
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6823
AB  - Reflection of electrons from solids is treated by the approximate analytic solution of the linearized transport equation. Scattering of electrons on target atoms is determined by the screened Coulomb interaction and the energy loss due to interaction with target electrons is defined by Bethe-Bloch formula. The anisotropic P(3) approximation of the collision integral is utilized and the Bolzmann transport equation is Laplace transformed in relative path length and solved by applying the DP0 technique. The approach is applicable in a wide range of electron energy -from several tens of keV to several MeV- and for materials where the mean number of collisions of an electron with target atoms during slowing down is large. Analytic expressions for energy distribution of backscattered electrons as well as for the particle and energy reflection coefficients were derived. Comparison of our results with data of the computational bipartition model is presented.
T1  - Backscattering of Fast Electrons from Solids Within a Multiple Collision Model
IS  - 84
SP  - 181
EP  - 184
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6823
ER  - 

@conference{
author = "Vukanić, Jovan V. and Davidović, Dragomir M.",
year = "2008",
abstract = "Reflection of electrons from solids is treated by the approximate analytic solution of the linearized transport equation. Scattering of electrons on target atoms is determined by the screened Coulomb interaction and the energy loss due to interaction with target electrons is defined by Bethe-Bloch formula. The anisotropic P(3) approximation of the collision integral is utilized and the Bolzmann transport equation is Laplace transformed in relative path length and solved by applying the DP0 technique. The approach is applicable in a wide range of electron energy -from several tens of keV to several MeV- and for materials where the mean number of collisions of an electron with target atoms during slowing down is large. Analytic expressions for energy distribution of backscattered electrons as well as for the particle and energy reflection coefficients were derived. Comparison of our results with data of the computational bipartition model is presented.",
title = "Backscattering of Fast Electrons from Solids Within a Multiple Collision Model",
number = "84",
pages = "181-184",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6823"
}

Vukanić, J. V.,& Davidović, D. M.. (2008). Backscattering of Fast Electrons from Solids Within a Multiple Collision Model. (84), 181-184.
https://hdl.handle.net/21.15107/rcub_vinar_6823

Vukanić JV, Davidović DM. Backscattering of Fast Electrons from Solids Within a Multiple Collision Model. 2008;(84):181-184.
https://hdl.handle.net/21.15107/rcub_vinar_6823 .

Vukanić, Jovan V., Davidović, Dragomir M., "Backscattering of Fast Electrons from Solids Within a Multiple Collision Model", no. 84 (2008):181-184,
https://hdl.handle.net/21.15107/rcub_vinar_6823 .

TY  - CONF
AU  - Davidović, Milena D.
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6620
AB  - On the coherent states vertical bar alpha GT any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of vertical bar alpha GT LT alpha vertical bar as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided. On the coherent states |alpha GT any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of |alpha GT LT alpha| as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided.
C3  - Journal of Physics: Conference Series
T1  - Non-entire functions of creation and annihilation operators and their relation to phase operator
VL  - 36
SP  - 46
EP  - +
DO  - 10.1088/1742-6596/36/1/009
ER  - 

@conference{
author = "Davidović, Milena D. and Arsenović, Dušan and Davidović, Dragomir M.",
year = "2006",
abstract = "On the coherent states vertical bar alpha GT any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of vertical bar alpha GT LT alpha vertical bar as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided. On the coherent states |alpha GT any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of |alpha GT LT alpha| as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided.",
journal = "Journal of Physics: Conference Series",
title = "Non-entire functions of creation and annihilation operators and their relation to phase operator",
volume = "36",
pages = "46-+",
doi = "10.1088/1742-6596/36/1/009"
}

Davidović, M. D., Arsenović, D.,& Davidović, D. M.. (2006). Non-entire functions of creation and annihilation operators and their relation to phase operator. in Journal of Physics: Conference Series, 36, 46-+.
https://doi.org/10.1088/1742-6596/36/1/009

Davidović MD, Arsenović D, Davidović DM. Non-entire functions of creation and annihilation operators and their relation to phase operator. in Journal of Physics: Conference Series. 2006;36:46-+.
doi:10.1088/1742-6596/36/1/009 .

Davidović, Milena D., Arsenović, Dušan, Davidović, Dragomir M., "Non-entire functions of creation and annihilation operators and their relation to phase operator" in Journal of Physics: Conference Series, 36 (2006):46-+,
https://doi.org/10.1088/1742-6596/36/1/009 . .

TY  - JOUR
AU  - Popov, D.
AU  - Davidović, Dragomir M.
AU  - Arsenović, Dušan
AU  - Sajfert, V.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3043
AB  - Using the Klauder-Perelomov coherent states of the pseudoharmonic oscillator Hamiltonian, corresponding diagonal P-representation for the density matrix of the gas of pseudoharmonic oscillators in thermal equilibrium is constructed. With a help of this new result, some corresponding characteristic thermal expectation values are obtained.
T2  - Acta Physica Slovaca
T1  - P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states
VL  - 56
IS  - 4
SP  - 445
EP  - 453
UR  - https://hdl.handle.net/21.15107/rcub_vinar_3043
ER  - 

@article{
author = "Popov, D. and Davidović, Dragomir M. and Arsenović, Dušan and Sajfert, V.",
year = "2006",
abstract = "Using the Klauder-Perelomov coherent states of the pseudoharmonic oscillator Hamiltonian, corresponding diagonal P-representation for the density matrix of the gas of pseudoharmonic oscillators in thermal equilibrium is constructed. With a help of this new result, some corresponding characteristic thermal expectation values are obtained.",
journal = "Acta Physica Slovaca",
title = "P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states",
volume = "56",
number = "4",
pages = "445-453",
url = "https://hdl.handle.net/21.15107/rcub_vinar_3043"
}

Popov, D., Davidović, D. M., Arsenović, D.,& Sajfert, V.. (2006). P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states. in Acta Physica Slovaca, 56(4), 445-453.
https://hdl.handle.net/21.15107/rcub_vinar_3043

Popov D, Davidović DM, Arsenović D, Sajfert V. P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states. in Acta Physica Slovaca. 2006;56(4):445-453.
https://hdl.handle.net/21.15107/rcub_vinar_3043 .

Popov, D., Davidović, Dragomir M., Arsenović, Dušan, Sajfert, V., "P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states" in Acta Physica Slovaca, 56, no. 4 (2006):445-453,
https://hdl.handle.net/21.15107/rcub_vinar_3043 .

TY  - JOUR
AU  - Davidović, Dragomir M.
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2753
AB  - We show that. with the help of the two well known Einstein assumptions used by him in the treatment of geometry on relativistically rotating disc, and elementary logical analysis only, two different and opposite models of rotating discs can be constructed: In one of them the disc, set rotating from the stationary state, changes neither its radius nor circumference, as measured from stationary inertial frame; while in the other both the radius and the circumference contract by the same Lorentz factor. We also show that one can construct discs whose contraction factors vary continuously from unity (no contraction) to the full Lorentz factor.
T2  - Foundations of Physics Letters
T1  - Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc
VL  - 17
IS  - 2
SP  - 183
EP  - 195
DO  - 10.1023/B:FOPL.0000019655.70930.d6
ER  - 

@article{
author = "Davidović, Dragomir M.",
year = "2004",
abstract = "We show that. with the help of the two well known Einstein assumptions used by him in the treatment of geometry on relativistically rotating disc, and elementary logical analysis only, two different and opposite models of rotating discs can be constructed: In one of them the disc, set rotating from the stationary state, changes neither its radius nor circumference, as measured from stationary inertial frame; while in the other both the radius and the circumference contract by the same Lorentz factor. We also show that one can construct discs whose contraction factors vary continuously from unity (no contraction) to the full Lorentz factor.",
journal = "Foundations of Physics Letters",
title = "Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc",
volume = "17",
number = "2",
pages = "183-195",
doi = "10.1023/B:FOPL.0000019655.70930.d6"
}

Davidović, D. M.. (2004). Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc. in Foundations of Physics Letters, 17(2), 183-195.
https://doi.org/10.1023/B:FOPL.0000019655.70930.d6

Davidović DM. Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc. in Foundations of Physics Letters. 2004;17(2):183-195.
doi:10.1023/B:FOPL.0000019655.70930.d6 .

Davidović, Dragomir M., "Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc" in Foundations of Physics Letters, 17, no. 2 (2004):183-195,
https://doi.org/10.1023/B:FOPL.0000019655.70930.d6 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2803
AB  - The reflection of x-rays from a semi-infinite water target, for energies ranging from 10 to 60 keV, often used in x-ray diagnostics, is investigated by Monte Carlo simulation. The same process was also treated analytically as the classical albedo problem for isotropic scattering without energy loss. Good agreement of results for the angular distribution of reflected photons of the two approaches is obtained for higher photon energies from the energy range considered. Multiple collision scattering dominates at higher energies, leading to isotropization of the photon distribution. Discrepancies between the isotropic scattering model and Monte Carlo results appear at the lower part of the energy range. Monte Carlo results show that at these energies photon reflection is governed mainly by single collisions and that these discrepancies are caused by anisotropy of the distribution of single backscattered photons. It is shown that the inclusion of the anisotropy of single Compton backscattering in the analytical model greatly improves the agreement with Monte Carlo results.
T2  - Journal of Physics. D: Applied Physics
T1  - Influence of anisotropy of Compton scattering on low energy x-ray reflection
VL  - 37
IS  - 16
SP  - 2314
EP  - 2317
DO  - 10.1088/0022-3727/37/16/014
ER  - 

@article{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2004",
abstract = "The reflection of x-rays from a semi-infinite water target, for energies ranging from 10 to 60 keV, often used in x-ray diagnostics, is investigated by Monte Carlo simulation. The same process was also treated analytically as the classical albedo problem for isotropic scattering without energy loss. Good agreement of results for the angular distribution of reflected photons of the two approaches is obtained for higher photon energies from the energy range considered. Multiple collision scattering dominates at higher energies, leading to isotropization of the photon distribution. Discrepancies between the isotropic scattering model and Monte Carlo results appear at the lower part of the energy range. Monte Carlo results show that at these energies photon reflection is governed mainly by single collisions and that these discrepancies are caused by anisotropy of the distribution of single backscattered photons. It is shown that the inclusion of the anisotropy of single Compton backscattering in the analytical model greatly improves the agreement with Monte Carlo results.",
journal = "Journal of Physics. D: Applied Physics",
title = "Influence of anisotropy of Compton scattering on low energy x-ray reflection",
volume = "37",
number = "16",
pages = "2314-2317",
doi = "10.1088/0022-3727/37/16/014"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2004). Influence of anisotropy of Compton scattering on low energy x-ray reflection. in Journal of Physics. D: Applied Physics, 37(16), 2314-2317.
https://doi.org/10.1088/0022-3727/37/16/014

Davidović DM, Vukanić JV, Arsenović D. Influence of anisotropy of Compton scattering on low energy x-ray reflection. in Journal of Physics. D: Applied Physics. 2004;37(16):2314-2317.
doi:10.1088/0022-3727/37/16/014 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "Influence of anisotropy of Compton scattering on low energy x-ray reflection" in Journal of Physics. D: Applied Physics, 37, no. 16 (2004):2314-2317,
https://doi.org/10.1088/0022-3727/37/16/014 . .

TY  - JOUR
AU  - Radojević, Vojislav
AU  - Davidović, Dragomir M.
AU  - Amusia, MY
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2613
AB  - Results of calculations of the near-threshold photoionization of the xenon 3d spin-orbit doublet are reported. Our theoretical analysis is undertaken in order to interpret and enlighten the very detailed measurements of this process [A. Kivimaki , Phys. Rev. A 63, 012716 (2001)], which revealed a previously unobserved interesting feature-an additional broad maximum-in the partial xenon 3d(5/2) cross section. This double maximum was not produced by earlier calculations, except in the recent study by Amusia [Phys. Rev. Lett. 88, 093002 (2002)], which, in contrast to the present one, is not ab initio and relativistic in character. The partial photoionization cross sections of 3d(5/2) and 3d(3/2) subshells, photoelectron anisotropy parameters, and spin-polarization parameters that were so far not studied either experimentally or theoretically are calculated. Many-electron correlations, relativistic effects, and relaxation effects of the ionic core in the ionization process are taken into account by using the relativistic random-phase approximation, modified to include the relaxation of the considered subshell.
T2  - Physical Review A
T1  - Near-threshold photoionization of the Xe 3d spin-orbit doublet: Relativistic, relaxation, and intershell interaction effects
VL  - 67
IS  - 2
DO  - 10.1103/PhysRevA.67.022719
ER  - 

@article{
author = "Radojević, Vojislav and Davidović, Dragomir M. and Amusia, MY",
year = "2003",
abstract = "Results of calculations of the near-threshold photoionization of the xenon 3d spin-orbit doublet are reported. Our theoretical analysis is undertaken in order to interpret and enlighten the very detailed measurements of this process [A. Kivimaki , Phys. Rev. A 63, 012716 (2001)], which revealed a previously unobserved interesting feature-an additional broad maximum-in the partial xenon 3d(5/2) cross section. This double maximum was not produced by earlier calculations, except in the recent study by Amusia [Phys. Rev. Lett. 88, 093002 (2002)], which, in contrast to the present one, is not ab initio and relativistic in character. The partial photoionization cross sections of 3d(5/2) and 3d(3/2) subshells, photoelectron anisotropy parameters, and spin-polarization parameters that were so far not studied either experimentally or theoretically are calculated. Many-electron correlations, relativistic effects, and relaxation effects of the ionic core in the ionization process are taken into account by using the relativistic random-phase approximation, modified to include the relaxation of the considered subshell.",
journal = "Physical Review A",
title = "Near-threshold photoionization of the Xe 3d spin-orbit doublet: Relativistic, relaxation, and intershell interaction effects",
volume = "67",
number = "2",
doi = "10.1103/PhysRevA.67.022719"
}

Radojević, V., Davidović, D. M.,& Amusia, M.. (2003). Near-threshold photoionization of the Xe 3d spin-orbit doublet: Relativistic, relaxation, and intershell interaction effects. in Physical Review A, 67(2).
https://doi.org/10.1103/PhysRevA.67.022719

Radojević V, Davidović DM, Amusia M. Near-threshold photoionization of the Xe 3d spin-orbit doublet: Relativistic, relaxation, and intershell interaction effects. in Physical Review A. 2003;67(2).
doi:10.1103/PhysRevA.67.022719 .

Radojević, Vojislav, Davidović, Dragomir M., Amusia, MY, "Near-threshold photoionization of the Xe 3d spin-orbit doublet: Relativistic, relaxation, and intershell interaction effects" in Physical Review A, 67, no. 2 (2003),
https://doi.org/10.1103/PhysRevA.67.022719 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2659
AB  - The reflection of x-rays from a half space is studied within the framework of a model that assumes multiple isotropic scattering of photons without energy loss. An exactly solvable analytical expression for the angular distribution of reflected photons is derived. The range of validity of the model was determined by the Monte Carlo simulation thereby incorporating energy loss and angular dependences. For water as a scatterer, in the energy range from 10 to 60 keV, which is often used in x-ray diagnostics, the two approaches differ by at most 5%. The analytic results, confirmed by the Monte Carlo simulation, show that the angular distribution of reflected photons for energies greater than 30 keV-where multiple scattering events dominate-may be represented by a cosine law, within a few per cent of accuracy.
T2  - Physics in Medicine and Biology
T1  - Simplified model of low energy x-ray backscattering
VL  - 48
IS  - 15
SP  - N213
EP  - N221
DO  - 10.1088/0031-9155/48/15/402
ER  - 

@article{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2003",
abstract = "The reflection of x-rays from a half space is studied within the framework of a model that assumes multiple isotropic scattering of photons without energy loss. An exactly solvable analytical expression for the angular distribution of reflected photons is derived. The range of validity of the model was determined by the Monte Carlo simulation thereby incorporating energy loss and angular dependences. For water as a scatterer, in the energy range from 10 to 60 keV, which is often used in x-ray diagnostics, the two approaches differ by at most 5%. The analytic results, confirmed by the Monte Carlo simulation, show that the angular distribution of reflected photons for energies greater than 30 keV-where multiple scattering events dominate-may be represented by a cosine law, within a few per cent of accuracy.",
journal = "Physics in Medicine and Biology",
title = "Simplified model of low energy x-ray backscattering",
volume = "48",
number = "15",
pages = "N213-N221",
doi = "10.1088/0031-9155/48/15/402"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2003). Simplified model of low energy x-ray backscattering. in Physics in Medicine and Biology, 48(15), N213-N221.
https://doi.org/10.1088/0031-9155/48/15/402

Davidović DM, Vukanić JV, Arsenović D. Simplified model of low energy x-ray backscattering. in Physics in Medicine and Biology. 2003;48(15):N213-N221.
doi:10.1088/0031-9155/48/15/402 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "Simplified model of low energy x-ray backscattering" in Physics in Medicine and Biology, 48, no. 15 (2003):N213-N221,
https://doi.org/10.1088/0031-9155/48/15/402 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Arsenović, Dušan
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6359
AB  - Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results.
T2  - Fortschritte der Physik = Progress of Physics
T1  - An operator for simultaneous unsharp measurement of coordinate and momentum
VL  - 51
IS  - 2-3
SP  - 92
EP  - 95
DO  - 10.1002/prop.200310008
ER  - 

@article{
author = "Davidović, Dragomir M. and Arsenović, Dušan",
year = "2003",
abstract = "Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results.",
journal = "Fortschritte der Physik = Progress of Physics",
title = "An operator for simultaneous unsharp measurement of coordinate and momentum",
volume = "51",
number = "2-3",
pages = "92-95",
doi = "10.1002/prop.200310008"
}

Davidović, D. M.,& Arsenović, D.. (2003). An operator for simultaneous unsharp measurement of coordinate and momentum. in Fortschritte der Physik = Progress of Physics, 51(2-3), 92-95.
https://doi.org/10.1002/prop.200310008

Davidović DM, Arsenović D. An operator for simultaneous unsharp measurement of coordinate and momentum. in Fortschritte der Physik = Progress of Physics. 2003;51(2-3):92-95.
doi:10.1002/prop.200310008 .

Davidović, Dragomir M., Arsenović, Dušan, "An operator for simultaneous unsharp measurement of coordinate and momentum" in Fortschritte der Physik = Progress of Physics, 51, no. 2-3 (2003):92-95,
https://doi.org/10.1002/prop.200310008 . .

TY  - JOUR
AU  - Bandilla, A
AU  - Drobny, G
AU  - Davidović, Dragomir M.
PY  - 2002
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2535
AB  - In classical three-wave interaction there is a regime where only the phases move but no energy is exchanged. This is strictly valid for classical trajectories with sharp amplitudes and phases. Quantum mechanically, such a phase motion regime can be realized only approximately if all three waves start in coherent states because the states deform due to their initial uncertainties during rotation. In the limit of a strong signal or idler wave, what amounts to frequency conversion, we show that exact rotations of coherent states become possible. This completes our understanding of three-wave interaction. Different initial quantum states are exchanged periodically if the strong wave is treated classically and undepleted. This limit is investigated by numerical diagonalization of the exact Hamiltonian via nonclassical states in the pump and coherent states in the signal and idler. Classical phase motion turns out to be very helpful to understand the strong demands for the converter limit. In the converter, we consider the impurity of the two modes and show that the coherent state in one mode, which enables the no-energy transfer regime, has no influence on the impurity of the other wave and can be substituted by a vacuum state. Thus, the impurity in such a regime behaves exactly as under simple one-photon losses although the energy can be held constant. The different rotations are illustrated by calculating the Wigner functions via classical trajectories. In addition, we also consider the equivalent emission from a prepared atomic system (squeezed atoms) into one mode.
T2  - Journal of Optics. B: Quantum and Semiclassical Optics
T1  - Quantum mechanical rotations, information transfer and decoherence in the converter limit of parametric processes
VL  - 4
IS  - 3
SP  - 193
EP  - 201
DO  - 10.1088/1464-4266/4/3/305
ER  - 

@article{
author = "Bandilla, A and Drobny, G and Davidović, Dragomir M.",
year = "2002",
abstract = "In classical three-wave interaction there is a regime where only the phases move but no energy is exchanged. This is strictly valid for classical trajectories with sharp amplitudes and phases. Quantum mechanically, such a phase motion regime can be realized only approximately if all three waves start in coherent states because the states deform due to their initial uncertainties during rotation. In the limit of a strong signal or idler wave, what amounts to frequency conversion, we show that exact rotations of coherent states become possible. This completes our understanding of three-wave interaction. Different initial quantum states are exchanged periodically if the strong wave is treated classically and undepleted. This limit is investigated by numerical diagonalization of the exact Hamiltonian via nonclassical states in the pump and coherent states in the signal and idler. Classical phase motion turns out to be very helpful to understand the strong demands for the converter limit. In the converter, we consider the impurity of the two modes and show that the coherent state in one mode, which enables the no-energy transfer regime, has no influence on the impurity of the other wave and can be substituted by a vacuum state. Thus, the impurity in such a regime behaves exactly as under simple one-photon losses although the energy can be held constant. The different rotations are illustrated by calculating the Wigner functions via classical trajectories. In addition, we also consider the equivalent emission from a prepared atomic system (squeezed atoms) into one mode.",
journal = "Journal of Optics. B: Quantum and Semiclassical Optics",
title = "Quantum mechanical rotations, information transfer and decoherence in the converter limit of parametric processes",
volume = "4",
number = "3",
pages = "193-201",
doi = "10.1088/1464-4266/4/3/305"
}

Bandilla, A., Drobny, G.,& Davidović, D. M.. (2002). Quantum mechanical rotations, information transfer and decoherence in the converter limit of parametric processes. in Journal of Optics. B: Quantum and Semiclassical Optics, 4(3), 193-201.
https://doi.org/10.1088/1464-4266/4/3/305

Bandilla A, Drobny G, Davidović DM. Quantum mechanical rotations, information transfer and decoherence in the converter limit of parametric processes. in Journal of Optics. B: Quantum and Semiclassical Optics. 2002;4(3):193-201.
doi:10.1088/1464-4266/4/3/305 .

Bandilla, A, Drobny, G, Davidović, Dragomir M., "Quantum mechanical rotations, information transfer and decoherence in the converter limit of parametric processes" in Journal of Optics. B: Quantum and Semiclassical Optics, 4, no. 3 (2002):193-201,
https://doi.org/10.1088/1464-4266/4/3/305 . .

TY  - CONF
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2002
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6397
AB  - Without greater investments, the improvement of radiation protection and decrease of irradiation of medical workers as well as patients in X-ray diagnostics, may be achieved only by getting first a deeper insight into X-ray transport and reflection in human body like tissues at energies used in X-ray diagnostics. It is shown that at these energies, with high accuracy, the X-ray transport and reflection may be treated as a classical monoenergetic particle transport with isotropic scattering. This situation allows the analytical treatment, what may have practical implications.
T1  - The character of reflection and transmission of xrays at energies used in radiological diagnostics
SP  - 289
EP  - 292
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6397
ER  - 

@conference{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2002",
abstract = "Without greater investments, the improvement of radiation protection and decrease of irradiation of medical workers as well as patients in X-ray diagnostics, may be achieved only by getting first a deeper insight into X-ray transport and reflection in human body like tissues at energies used in X-ray diagnostics. It is shown that at these energies, with high accuracy, the X-ray transport and reflection may be treated as a classical monoenergetic particle transport with isotropic scattering. This situation allows the analytical treatment, what may have practical implications.",
title = "The character of reflection and transmission of xrays at energies used in radiological diagnostics",
pages = "289-292",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6397"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2002). The character of reflection and transmission of xrays at energies used in radiological diagnostics. , 289-292.
https://hdl.handle.net/21.15107/rcub_vinar_6397

Davidović DM, Vukanić JV, Arsenović D. The character of reflection and transmission of xrays at energies used in radiological diagnostics. 2002;:289-292.
https://hdl.handle.net/21.15107/rcub_vinar_6397 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "The character of reflection and transmission of xrays at energies used in radiological diagnostics" (2002):289-292,
https://hdl.handle.net/21.15107/rcub_vinar_6397 .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Lalović, Dragutin I.
PY  - 1999
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2270
AB  - The idea that the phase of single-mode field may be correctly defined as a phase difference between the state considered and a highly excited coherent state treated as the reference phase state, although present in discussions about the quantum phase problem, have not been directly concretized and its consequences fully understood. In the present work we succeed in finding an effective mathematical procedure which corresponds exactly to this idea and so derive, using the results related to phase difference available in the literature, the phase distribution for a single-mode field. We discuss the obtained results.
T2  - Journal of Physics. A: Mathematical and General
T1  - A way to define the phase distribution for a single mode quantum field
VL  - 32
IS  - 32
SP  - 5901
EP  - 5905
DO  - 10.1088/0305-4470/32/32/305
ER  - 

@article{
author = "Davidović, Dragomir M. and Lalović, Dragutin I.",
year = "1999",
abstract = "The idea that the phase of single-mode field may be correctly defined as a phase difference between the state considered and a highly excited coherent state treated as the reference phase state, although present in discussions about the quantum phase problem, have not been directly concretized and its consequences fully understood. In the present work we succeed in finding an effective mathematical procedure which corresponds exactly to this idea and so derive, using the results related to phase difference available in the literature, the phase distribution for a single-mode field. We discuss the obtained results.",
journal = "Journal of Physics. A: Mathematical and General",
title = "A way to define the phase distribution for a single mode quantum field",
volume = "32",
number = "32",
pages = "5901-5905",
doi = "10.1088/0305-4470/32/32/305"
}

Davidović, D. M.,& Lalović, D. I.. (1999). A way to define the phase distribution for a single mode quantum field. in Journal of Physics. A: Mathematical and General, 32(32), 5901-5905.
https://doi.org/10.1088/0305-4470/32/32/305

Davidović DM, Lalović DI. A way to define the phase distribution for a single mode quantum field. in Journal of Physics. A: Mathematical and General. 1999;32(32):5901-5905.
doi:10.1088/0305-4470/32/32/305 .

Davidović, Dragomir M., Lalović, Dragutin I., "A way to define the phase distribution for a single mode quantum field" in Journal of Physics. A: Mathematical and General, 32, no. 32 (1999):5901-5905,
https://doi.org/10.1088/0305-4470/32/32/305 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, N
AU  - Davidović, Dragomir M.
PY  - 1999
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2278
AB  - Recently a physically transparent definition of classical-like states of a quantum one-dimensional particle in a potential has been proposed [D. M. Davidovic and D. Lalovic, J. Phys. A. 31, 2281 (1998)]; such states have been explicitly constructed and studied. In the present paper we formulated an analogous definition of the classical-like states of a quantum system with no underlying classical model, namely the spin s = 1/2. The definition leads to a natural and consistent measure of the classical characteristics of a quantum state. We then constructed such classical-like states explicitly, and discussed their properties. [S1050-2947(99)06606-8].
T2  - Physical Review A
T1  - Classical-like states of spin s=1/2
VL  - 60
IS  - 3
SP  - 1797
EP  - 1801
DO  - 10.1103/PhysRevA.60.1797
ER  - 

@article{
author = "Arsenović, Dušan and Buric, N and Davidović, Dragomir M.",
year = "1999",
abstract = "Recently a physically transparent definition of classical-like states of a quantum one-dimensional particle in a potential has been proposed [D. M. Davidovic and D. Lalovic, J. Phys. A. 31, 2281 (1998)]; such states have been explicitly constructed and studied. In the present paper we formulated an analogous definition of the classical-like states of a quantum system with no underlying classical model, namely the spin s = 1/2. The definition leads to a natural and consistent measure of the classical characteristics of a quantum state. We then constructed such classical-like states explicitly, and discussed their properties. [S1050-2947(99)06606-8].",
journal = "Physical Review A",
title = "Classical-like states of spin s=1/2",
volume = "60",
number = "3",
pages = "1797-1801",
doi = "10.1103/PhysRevA.60.1797"
}

Arsenović, D., Buric, N.,& Davidović, D. M.. (1999). Classical-like states of spin s=1/2. in Physical Review A, 60(3), 1797-1801.
https://doi.org/10.1103/PhysRevA.60.1797

Arsenović D, Buric N, Davidović DM. Classical-like states of spin s=1/2. in Physical Review A. 1999;60(3):1797-1801.
doi:10.1103/PhysRevA.60.1797 .

Arsenović, Dušan, Buric, N, Davidović, Dragomir M., "Classical-like states of spin s=1/2" in Physical Review A, 60, no. 3 (1999):1797-1801,
https://doi.org/10.1103/PhysRevA.60.1797 . .