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KIAM Preprint  66, Moscow, 2015
Authors: Borisov L.A., Orlov Y. N., Sakbaev V.Z.
Equivalence by Chernoff and evolution equations for density matrix and Wigner function for linear quantization
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.
one-parametric semigroup, Hamiltonian, Wigner function, Chernoff equivalence, quantum Liouville equation
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Borisov L.A., 
  • Orlov Yurii Nikolaevich, RAS
  • Sakbaev V.Z.,