Deformed multivariable Fokker-Planck equations

DOI10.1063/1.2748375zbMath1144.81355arXivcond-mat/0703291OpenAlexW3099125265MaRDI QIDQ3529807

Ryu Sasaki, Choon-Lin Ho

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0703291

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Groups and algebras in quantum theory and relations with integrable systems (81R12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Fokker-Planck equations (35Q84)

Related Items (2)

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Cites Work

• On the use of Mellin transform to a class of \(q\)-difference-differential equations
• Equilibrium positions, shape invariance and Askey–Wilson polynomials
• Non-equilibrium thermodynamics and anomalous diffusion
• Quantum versus classical integrability in Calogero$ndash$Moser systems
• Difference Calogero–Moser systems and finite Toda chains
• Shape Invariant Potentials in "Discrete Quantum Mechanics"
• Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials
• A Class of Matrix Ensembles

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