Davidović, Milena D.

Link to this page

Authority KeyName Variants
6286339d-8ce3-4b1f-8856-8236b92fc3a4
  • Davidović, Milena D. (12)

Author's Bibliography

Properties of the quantum state arising after the L-photon state has passed trough a linear quantum amplifier

Andreev, Vladimir A.; Davidović, Milena D.; Davidović, Ljubica D.; Davidović, Miloš D.; Davidović, Dragomir M.

(2021)

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
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"
}
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.
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..
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.
1

Linear Light Amplifier and Amplification of N-Photon States

Andreev, Vladimir A.; Davidović, Milena D.; Davidović, Ljubica D.; Davidović, Miloš D.; Davidović, Dragomir M.

(2019)

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 . .
1
1
1

Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge

Davidović, Milena D.; Davidović, Miloš D.; Sanz, Angel S.; Božić, Mirjana; Vasiljević, Darko

(2018)

TY  - JOUR
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2018
UR  - http://link.springer.com/10.1007/s10946-018-9738-9
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7965
AB  - In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel–Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
T2  - Journal of Russian Laser Research
T1  - Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge
VL  - 39
IS  - 5
SP  - 438
EP  - 447
DO  - 10.1007/s10946-018-9738-9
ER  - 
@article{
author = "Davidović, Milena D. and Davidović, Miloš D. and Sanz, Angel S. and Božić, Mirjana and Vasiljević, Darko",
year = "2018",
abstract = "In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel–Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.",
journal = "Journal of Russian Laser Research",
title = "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge",
volume = "39",
number = "5",
pages = "438-447",
doi = "10.1007/s10946-018-9738-9"
}
Davidović, M. D., Davidović, M. D., Sanz, A. S., Božić, M.,& Vasiljević, D.. (2018). Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge. in Journal of Russian Laser Research, 39(5), 438-447.
https://doi.org/10.1007/s10946-018-9738-9
Davidović MD, Davidović MD, Sanz AS, Božić M, Vasiljević D. Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge. in Journal of Russian Laser Research. 2018;39(5):438-447.
doi:10.1007/s10946-018-9738-9 .
Davidović, Milena D., Davidović, Miloš D., Sanz, Angel S., Božić, Mirjana, Vasiljević, Darko, "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge" in Journal of Russian Laser Research, 39, no. 5 (2018):438-447,
https://doi.org/10.1007/s10946-018-9738-9 . .
1
2
2
2

Scale Transformations in Phase Space and Stretched States of a Harmonic Oscillator

Andreev, V. A.; Davidovic, D. M.; Davidovic, L. D.; Davidović, Milena D.; Davidović, Miloš D.

(2017)

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidovic, D. M.
AU  - Davidovic, L. 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 Davidovic, D. M. and Davidovic, L. 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., Davidovic, D. M., Davidovic, 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, Davidovic DM, Davidovic 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., Davidovic, D. M., Davidovic, L. 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 . .
1
1
3

Scaling Transform and Stretched States in Quantum Mechanics

Andreev, Vladimir A.; Davidović, Dragomir M.; Davidović, Ljubica D.; Davidović, Milena D.; Davidović, Miloš D.; Zotov, Sergey D.

(2016)

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 . .
1
1
2

Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations

Andreev, Vladimir A.; Davidović, Milena D.; Davidovic, Ljubica D.; Davidović, Miloš D.; Davidovic, Dragomir M.

(2015)

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Milena D.
AU  - Davidovic, Ljubica D.
AU  - Davidović, Miloš D.
AU  - Davidovic, Dragomir M.
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/643
AB  - We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - GT (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.
T2  - Physica Scripta
T1  - Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations
VL  - 90
IS  - 7
DO  - 10.1088/0031-8949/90/7/074023
ER  - 
@article{
author = "Andreev, Vladimir A. and Davidović, Milena D. and Davidovic, Ljubica D. and Davidović, Miloš D. and Davidovic, Dragomir M.",
year = "2015",
abstract = "We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - GT (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.",
journal = "Physica Scripta",
title = "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations",
volume = "90",
number = "7",
doi = "10.1088/0031-8949/90/7/074023"
}
Andreev, V. A., Davidović, M. D., Davidovic, L. D., Davidović, M. D.,& Davidovic, D. M.. (2015). Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta, 90(7).
https://doi.org/10.1088/0031-8949/90/7/074023
Andreev VA, Davidović MD, Davidovic LD, Davidović MD, Davidovic DM. Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta. 2015;90(7).
doi:10.1088/0031-8949/90/7/074023 .
Andreev, Vladimir A., Davidović, Milena D., Davidovic, Ljubica D., Davidović, Miloš D., Davidovic, Dragomir M., "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations" in Physica Scripta, 90, no. 7 (2015),
https://doi.org/10.1088/0031-8949/90/7/074023 . .
1
2
3
3

Operator Method for Calculating Q Symbols and Their Relation to Weyl-Wigner Symbols and Symplectic Tomogram Symbols

Andreev, V. A.; Davidovic, L. D.; Davidović, Milena D.; Davidović, Miloš D.; Manko, V. I.; Manko, M. A.

(2014)

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidovic, L. D.
AU  - Davidović, Milena D.
AU  - Davidović, Miloš D.
AU  - Manko, V. I.
AU  - Manko, M. A.
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6033
AB  - We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.
T2  - Theoretical and Mathematical Physics
T1  - Operator Method for Calculating Q Symbols and Their Relation to Weyl-Wigner Symbols and Symplectic Tomogram Symbols
VL  - 179
IS  - 2
SP  - 559
EP  - 573
DO  - 10.1007/s11232-014-0162-1
ER  - 
@article{
author = "Andreev, V. A. and Davidovic, L. D. and Davidović, Milena D. and Davidović, Miloš D. and Manko, V. I. and Manko, M. A.",
year = "2014",
abstract = "We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.",
journal = "Theoretical and Mathematical Physics",
title = "Operator Method for Calculating Q Symbols and Their Relation to Weyl-Wigner Symbols and Symplectic Tomogram Symbols",
volume = "179",
number = "2",
pages = "559-573",
doi = "10.1007/s11232-014-0162-1"
}
Andreev, V. A., Davidovic, L. D., Davidović, M. D., Davidović, M. D., Manko, V. I.,& Manko, M. A.. (2014). Operator Method for Calculating Q Symbols and Their Relation to Weyl-Wigner Symbols and Symplectic Tomogram Symbols. in Theoretical and Mathematical Physics, 179(2), 559-573.
https://doi.org/10.1007/s11232-014-0162-1
Andreev VA, Davidovic LD, Davidović MD, Davidović MD, Manko VI, Manko MA. Operator Method for Calculating Q Symbols and Their Relation to Weyl-Wigner Symbols and Symplectic Tomogram Symbols. in Theoretical and Mathematical Physics. 2014;179(2):559-573.
doi:10.1007/s11232-014-0162-1 .
Andreev, V. A., Davidovic, L. D., Davidović, Milena D., Davidović, Miloš D., Manko, V. I., Manko, M. A., "Operator Method for Calculating Q Symbols and Their Relation to Weyl-Wigner Symbols and Symplectic Tomogram Symbols" in Theoretical and Mathematical Physics, 179, no. 2 (2014):559-573,
https://doi.org/10.1007/s11232-014-0162-1 . .
6
5
6

A Transformational Property of the Husimi Function and Its Relation to the Wigner Function and Symplectic Tomograms

Andreev, V. A.; Davidovic, D. M.; Davidovic, L. D.; Davidović, Milena D.; Man'ko, V. I.; Man'ko, M. A.

(2011)

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidovic, D. M.
AU  - Davidovic, L. 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 Davidovic, D. M. and Davidovic, L. 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., Davidovic, D. M., Davidovic, 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, Davidovic DM, Davidovic 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., Davidovic, D. M., Davidovic, L. 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 . .
1
19
17
20

Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states

Andreev, V. A.; Davidovic, D. M.; Davidovic, L. D.; Davidović, Milena D.

(2011)

TY  - JOUR
AU  - Andreev, V. A.
AU  - Davidovic, D. M.
AU  - Davidovic, L. 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 Davidovic, D. M. and Davidovic, L. 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., Davidovic, D. M., Davidovic, 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, Davidovic DM, Davidovic 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., Davidovic, D. M., Davidovic, L. 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 . .
3
5
5

Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them

Davidović, Ljubica; Arsenović, Dušan; Davidović, Milena D.; Davidovic, Dragomir M.

(2009)

TY  - JOUR
AU  - Davidović, Ljubica
AU  - Arsenović, Dušan
AU  - Davidović, Milena D.
AU  - Davidovic, Dragomir M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3706
AB  - Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results.
T2  - Journal of Physics. A: Mathematical and Theoretical
T1  - Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them
VL  - 42
IS  - 23
DO  - 10.1088/1751-8113/42/23/235302
ER  - 
@article{
author = "Davidović, Ljubica and Arsenović, Dušan and Davidović, Milena D. and Davidovic, Dragomir M.",
year = "2009",
abstract = "Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results.",
journal = "Journal of Physics. A: Mathematical and Theoretical",
title = "Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them",
volume = "42",
number = "23",
doi = "10.1088/1751-8113/42/23/235302"
}
Davidović, L., Arsenović, D., Davidović, M. D.,& Davidovic, D. M.. (2009). Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them. in Journal of Physics. A: Mathematical and Theoretical, 42(23).
https://doi.org/10.1088/1751-8113/42/23/235302
Davidović L, Arsenović D, Davidović MD, Davidovic DM. Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them. in Journal of Physics. A: Mathematical and Theoretical. 2009;42(23).
doi:10.1088/1751-8113/42/23/235302 .
Davidović, Ljubica, Arsenović, Dušan, Davidović, Milena D., Davidovic, Dragomir M., "Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them" in Journal of Physics. A: Mathematical and Theoretical, 42, no. 23 (2009),
https://doi.org/10.1088/1751-8113/42/23/235302 . .
2
2
2

Energy distribution of X-rays reflected from a half space in double collision approximation

Vukanic, Jovan; Davidović, Milena D.; Arsenović, Dušan; Davidovic, Dragomir M.

(2006)

TY  - CONF
AU  - Vukanic, Jovan
AU  - Davidović, Milena D.
AU  - Arsenović, Dušan
AU  - Davidovic, Dragomir M.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6635
AB  - The results obtained in a Monte Carlo simulation of X-ray reflection from water show that for energies up to 20 keV, single and double reflected photons absolutely dominate. Analyzing in detail geometry of the collisions and corresponding energy relations we derive analytically the energy and angular distributions of reflected photons in double collision approximation. The results of the two approaches are compared and discussed. (c) 2006 Elsevier Ltd. All rights reserved.
C3  - Radiation Physics and Chemistry
T1  - Energy distribution of X-rays reflected from a half space in double collision approximation
VL  - 75
IS  - 11
SP  - 1953
EP  - 1955
DO  - 10.1016/j.radphyschem.2005.07.046
ER  - 
@conference{
author = "Vukanic, Jovan and Davidović, Milena D. and Arsenović, Dušan and Davidovic, Dragomir M.",
year = "2006",
abstract = "The results obtained in a Monte Carlo simulation of X-ray reflection from water show that for energies up to 20 keV, single and double reflected photons absolutely dominate. Analyzing in detail geometry of the collisions and corresponding energy relations we derive analytically the energy and angular distributions of reflected photons in double collision approximation. The results of the two approaches are compared and discussed. (c) 2006 Elsevier Ltd. All rights reserved.",
journal = "Radiation Physics and Chemistry",
title = "Energy distribution of X-rays reflected from a half space in double collision approximation",
volume = "75",
number = "11",
pages = "1953-1955",
doi = "10.1016/j.radphyschem.2005.07.046"
}
Vukanic, J., Davidović, M. D., Arsenović, D.,& Davidovic, D. M.. (2006). Energy distribution of X-rays reflected from a half space in double collision approximation. in Radiation Physics and Chemistry, 75(11), 1953-1955.
https://doi.org/10.1016/j.radphyschem.2005.07.046
Vukanic J, Davidović MD, Arsenović D, Davidovic DM. Energy distribution of X-rays reflected from a half space in double collision approximation. in Radiation Physics and Chemistry. 2006;75(11):1953-1955.
doi:10.1016/j.radphyschem.2005.07.046 .
Vukanic, Jovan, Davidović, Milena D., Arsenović, Dušan, Davidovic, Dragomir M., "Energy distribution of X-rays reflected from a half space in double collision approximation" in Radiation Physics and Chemistry, 75, no. 11 (2006):1953-1955,
https://doi.org/10.1016/j.radphyschem.2005.07.046 . .

Non-entire functions of creation and annihilation operators and their relation to phase operator

Davidović, Milena D.; Arsenović, Dušan; Davidovic, D. M.

(2006)

TY  - CONF
AU  - Davidović, Milena D.
AU  - Arsenović, Dušan
AU  - Davidovic, D. 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 Davidovic, D. 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.,& Davidovic, 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, Davidovic 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, Davidovic, D. 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 . .
1
1
1