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 . .