Quasi-exactly solvable Fokker-Planck equations

Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.12.001· OSTI ID:21077707

Ho, Choon-Lin ^[1]; Sasaki, Ryu ^[2]

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1. Department of Physics, Tamkang University, 151 Ying-Chuan Road, Tamsui 251, Taiwan (China)
2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

We consider exact and quasi-exact solvability of the one-dimensional Fokker-Planck equation based on the connection between the Fokker-Planck equation and the Schroedinger equation. A unified consideration of these two types of solvability is given from the viewpoint of prepotential together with Bethe ansatz equations. Quasi-exactly solvable Fokker-Planck equations related to the sl(2)-based systems in Turbiner's classification are listed. We also present one sl(2)-based example which is not listed in Turbiner's scheme.

• OSTI ID: 21077707
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 4 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSIFICATION
EXACT SOLUTIONS
FOKKER-PLANCK EQUATION
ONE-DIMENSIONAL CALCULATIONS
SCHROEDINGER EQUATION