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Preprints of the Keldysh Institute of Applied Mathematics, 2015, 066, 28 pp. (Mi ipmp2028)  
Equivalence by Chernoff and evolution equations for density matrix and Wigner function for linear quantization

L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev
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Abstract: The Chernoff equivalence notice for operator-functions is generalized for the solutions of quantum evolution equations for statistical operators — density matrix and Wigner function. The evolution equations are derived and investigated for arbitrary linear quantization. In general case Wigner equation has a diffusion part due to quantization packet effects.
Keywords: one-parametric semigroup, Hamiltonian, Wigner function, Chernoff equivalence, quantum Liouville equation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00145
Russian Science Foundation 14-11-00687
Document Type: Preprint
Language: Russian
Citation: L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev, “Equivalence by Chernoff and evolution equations for density matrix and Wigner function for linear quantization”, Keldysh Institute preprints, 2015, 066, 28 pp.
Citation in format AMSBIB
\Bibitem{BorOrlSak15}
\by L.~A.~Borisov, Yu.~N.~Orlov, V.~Zh.~Sakbaev
\paper Equivalence by Chernoff and evolution equations for density matrix and Wigner function for linear quantization
\jour Keldysh Institute preprints
\yr 2015
\papernumber 066
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp2028}
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