Explicit form for the kernel operator matrix elements in eigenfunction basis of harmonic oscillator

DOI10.1088/1742-5468/AB6F60zbMath1456.81292OpenAlexW3008715939MaRDI QIDQ5135057

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

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/ab6f60

Mathematics Subject Classification ID

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

Related Items (3)

Dispersion chain of Vlasov equations ⋮ The Wigner function negative value domains and energy function poles of the polynomial oscillator ⋮ Wigner function of a quantum system with polynomial potential

Cites Work

• Real wavefunction from generalised Hamiltonian schrodinger equation in quantum phase space via HOA (Heaviside Operational Ansatz): exact analytical results
• Weyl transforms
• Operational representations for the Laguerre and other polynomials
• Riemann surface and quantization
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. II. Quantum Mechanics in Phase Space
• The formulation of quantum mechanics in terms of phase space functions-the third equation
• Harmonic Analysis in Phase Space. (AM-122)
• Identities for families of orthogonal polynomials and special functions
• On the Quantum Correction For Thermodynamic Equilibrium
• A Concise Treatise on Quantum Mechanics in Phase Space
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• On the principles of elementary quantum mechanics

This page was built for publication: Explicit form for the kernel operator matrix elements in eigenfunction basis of harmonic oscillator