Brownian motion, quantum corrections and a generalization of the Hermite polynomials

DOI10.1016/j.cam.2009.02.061zbMath1182.42025OpenAlexW2021003004MaRDI QIDQ1044635

J. Blot

Publication date: 18 December 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.061

zbMATH Keywords

orthogonal polynomialsBrownian motiongeneralized Hermite polynomialsequilibrium classical and quantum statistical mechanicsstochastic methods (Smoluchowski equation)time-dependent statistical mechanics (dynamic and nonequilibrium)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Classical equilibrium statistical mechanics (general) (82B05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum equilibrium statistical mechanics (general) (82B10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (2)

Classical and quantum models in non-equilibrium statistical mechanics: moment methods and long-time approximations ⋮ Quantum Brownian motion and generalizations of Hermite polynomials

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