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Bondarev, B.V. (1994) Derivation of Quantum Kinetic Equation from the Liouville-von Neumann Equation. Theoretical and Mathematical Physics, 100, 33-43.
https://doi.org/10.1007/BF01017320

has been cited by the following article:

• TITLE: Lindblad Equation for Harmonic Oscillator: Uncertainty Relation Depending on Temperature

  AUTHORS: Boris V. Bondarev

  KEYWORDS: Statistical Operator, Density Matrix, Lindblad Equation, Harmonic Oscillator

  JOURNAL NAME: Applied Mathematics, Vol.8 No.11, November 2, 2017

  ABSTRACT: Specific nonequilibrium states of the quantum harmonic oscillator described by the Lindblad equation have been hereby suggested. This equation makes it possible to determine time-varying effects produced by statistical operator or statistical matrix. Thus, respective representation-varied equilibrium statistical matrixes have been found. Specific mean value equations have been found and their equilibrium solutions have been obtained.