Kinetic equations for classical and quantum Brownian particles and eigenfunction expansions as generalized functions

DOI10.1063/1.3598428zbMath1317.60105OpenAlexW2036625341MaRDI QIDQ5266041

Satoshi Tanaka, Tomio Petrosky, Kazuki Kanki

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3598428

zbMATH Keywords

H-function

Mathematics Subject Classification ID

Brownian motion (60J65) (S)-matrix theory, etc. in quantum theory (81U20) Statistical thermodynamics (82B30) Boltzmann equations (35Q20)

Related Items (1)

Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point

Cites Work

• The Fokker-Planck equation. Methods of solution and applications
• Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.
• Accumulation Point in the Spectrum of the Collision Operator for a One-Dimensional Polaron System
• Band structure and accumulation point in the spectrum of quantum collision operator in a one-dimensional molecular chain
• Irreversibility in Heisenberg Spin Systems. II. Approximate Solution of the High-Temperature Kinetic Equations
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