On the inversion formula of linear quantization and the evolution equation for the Wigner function
DOI10.1134/S0081543821020036zbMath1468.81062OpenAlexW3187066260MaRDI QIDQ2041535
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
evolution equationWigner functionWeyl quantizationstationary solutionapproximating quantizationinverse quantization
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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