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  - Andreev, V. A.
AU  - Davidović, Ljubica 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 Davidović, Ljubica 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., Davidović, 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, Davidović 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., Davidović, Ljubica 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 . .

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 . .