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

DOI10.1134/S0081543821020036zbMath1468.81062OpenAlexW3187066260MaRDI QIDQ2041535

L. A. Borisov, Yu. N. Orlov

Publication date: 23 July 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821020036

zbMATH Keywords

evolution equationWigner functionWeyl quantizationstationary solutionapproximating quantizationinverse quantization

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum state spaces, operational and probabilistic concepts (81P16) Canonical quantization (81S08)

Cites Work

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• 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
• Generalized evolution equation of Wigner function for an arbitrary linear quantization
• On the Quantum Correction For Thermodynamic Equilibrium
• Different realizations of the tomographic principle in quantum state measurement
• DEFORMATION QUANTIZATION AND WIGNER FUNCTIONS

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