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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
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
Publication language: russian, pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
Source text: