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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 040, 22 pp.
DOI: https://doi.org/10.20948/prepr-2020-40
(Mi ipmp2831)
 

Evolution equation for Wigner function for linear quantization

Yu. N. Orlov
References:
Abstract: 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.
Keywords: quantization, Wigner function, density matrix.
Funding agency Grant number
Russian Science Foundation 19-71-30004
Document Type: Preprint
Language: Russian
Citation: Yu. N. Orlov, “Evolution equation for Wigner function for linear quantization”, Keldysh Institute preprints, 2020, 040, 22 pp.
Citation in format AMSBIB
\Bibitem{Orl20}
\by Yu.~N.~Orlov
\paper Evolution equation for Wigner function for linear quantization
\jour Keldysh Institute preprints
\yr 2020
\papernumber 040
\totalpages 22
\mathnet{http://mi.mathnet.ru/ipmp2831}
\crossref{https://doi.org/10.20948/prepr-2020-40}
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  • https://www.mathnet.ru/eng/ipmp/y2020/p40
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