An arbitrary linear combination of the so-called tau-quantizations as integral transformations of classical symbol to quantum operator matrix is considered. The evolution equation for Wigner function is derived. In general case this equation depends on the characteristic function of quantization. The case of harmonic oscillator is considered for Weyl and Jordan quantizations.

quantization, Wigner function, density matrix

Mathematical modelling in actual problems of science and technics

Orlov Yurii Nikolaevich,  ,  orcid.org/0000-0002-1356-5137,  KIAM RAS