2011/01/13 by Ya. A. Korennoy, Korennoy, Ya. A., V. I. Manʹko +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Optical and Acousto-Optic Technologies #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.1101.2537
14 pages submitted to Journal of Russian Laser Research
arxiv created 2011/01/13 · openalex publication_date 2011/01/13 · arxiv updated 2011/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The von Neumann evolution equation for density matrix and the Moyal equation for the Wigner function are mapped onto evolution equation for optical tomogram of quantum state. The connection with known evolution equation for 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 the optical tomograms. Classical Liouville equation for optical tomogram is obtained. Example of parametric oscillator is considered in detail.