Wigner function of a quantum system with polynomial potential

DOI10.1088/1742-5468/ab7bdazbMath1456.81293OpenAlexW3028072287MaRDI QIDQ5135137

Evgeny E. Perepelkin, N. G. Inozemtseva, E. V. Burlakov, B. I. Sadovnikov

Publication date: 19 November 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/ab7bda

zbMATH Keywords

numerical simulationsrigorous results in statistical mechanics

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

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Cites Work

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• When is the Wigner quasi-probability density non-negative?
• Quasi-exactly solvable cases of an \(N\)-dimensional symmetric decatic anharmonic oscillator.
• New class of special functions based on the exact solution of a nonlinear partial differential equation of divergence type
• The new modified Vlasov equation for the systems with dissipative processes
• Bounds on Schrödinger eigenvalues for polynomial potentials in N dimensions
• On the Quantum Correction For Thermodynamic Equilibrium
• Quantum anharmonic oscillators: a new approach
• Explicit form for the kernel operator matrix elements in eigenfunction basis of harmonic oscillator
• On some polynomial potentials in d-dimensions
• Approximate analytic solutions of the Schrödinger equation for the generalized anharmonic oscillator
• On the principles of elementary quantum mechanics