Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states
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.
Source:
Physica Scripta, 2011, T143Note:
- 17th Central European Workshops on Quantum Optics, Jun 06-11, 2010, Univ St Andrews, St Andrews, Scotland
DOI: 10.1088/0031-8949/2011/T143/014003
ISSN: 0031-8949; 1402-4896
WoS: 000287518200004
Scopus: 2-s2.0-79953200795
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Institution/Community
VinčaTY - 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 . .