2016/06/22 by Ya. A. Korennoy, Korennoy, Ya. A., V. I. Manʹko +1
Physics and Astronomy · #81Qxx #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1606.07132
openalex publication_date 2016/06/22 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28
It is shown that dynamical equations for quantum tomograms retain the normalization conditions of their solutions during evolution only if the solutions satisfy a set of special conditions. These conditions are found explicitly. On the contrary, it is also shown that the classical Liouville equation, Moyal equation for Wigner function, and evolution equation for Husimi function retain normalization of any initially normalized and quickly decaying at infinity functions on the phase space. Other necessary and sufficient conditions for optical and symplectic tomogram-like functions to be tomograms of physical states are discussed.