caa a22 4500 445858311 CHVBK 20180317145435.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10946-011-9191-5 doi (NATIONALLICENCE)springer-10.1007/s10946-011-9191-5 Probability representation of the quantum evolution and energy-level equations for optical tomograms [Elektronische Daten] [Yakov Korennoy, Vladimir Man'ko] The von Neumann evolution equation for the density matrix and the Moyal equation for the Wigner function are mapped onto the evolution equation for the optical tomogram of the quantum state. The connection with the known evolution equation for the symplectic tomogram of the quantum state is clarified. The stationary states corresponding to quantum energy levels are associated with the probability representation of the von Neumann and Moyal equations written for optical tomograms. The classical Liouville equation for optical tomogram is obtained. An example of the parametric oscillator is considered in detail. Springer Science+Business Media, Inc., 2011 evolution equation nationallicence Moyal equation nationallicence Wigner function nationallicence optical tomogram of quantum state nationallicence classical Liouville equation for optical tomogram nationallicence Korennoy Yakov P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Man'ko Vladimir P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/1(2011-01-01), 74-85 1071-2836 32:1<74 2011 32 10946 https://doi.org/10.1007/s10946-011-9191-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10946-011-9191-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Korennoy Yakov P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Man'ko Vladimir P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/1(2011-01-01), 74-85 1071-2836 32:1<74 2011 32 10946 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer