Generalized evolution equation of Wigner function for an arbitrary linear quantization

DOI10.1134/S1995080221010091zbMath1459.81065OpenAlexW3135459036MaRDI QIDQ2656406

L. A. Borisov, Yu. N. Orlov

Publication date: 11 March 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221010091

zbMATH Keywords

evolution equationWigner functionanharmonic oscillatorlinear quantization

Mathematics Subject Classification ID

Hamilton's equations (70H05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Stochastic quantization (81S20)

Related Items (1)

On the inversion formula of linear quantization and the evolution equation for the Wigner function

Cites Work

• General concept of quantization
• Feynman formulas as a method of averaging random Hamiltonians
• Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription
• Different realizations of the tomographic principle in quantum state measurement
• DEFORMATION QUANTIZATION AND WIGNER FUNCTIONS
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