Deformed Fokker-Planck Equations | Zendy

ChenLin Ho | Zendy; Ryu Sasaki | Zendy

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Deformed Fokker-Planck Equations

Author(s) -

ChenLin Ho,

Ryu Sasaki

Publication year - 2007

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.118.667

Subject(s) - physics , fokker–planck equation , mathematical physics , eigenfunction , discretization , independent equation , schrödinger equation , differential equation , classical mechanics , quantum mechanics , mathematical analysis , mathematics , eigenvalues and eigenvectors

Based on the well-known relation between Fokker-Planck equations andSchroedinger equations of quantum mechanics (QM), we propose new deformedFokker-Planck (FP) equations associated with the Schroedinger equations of"discrete" QM. The latter is a natural discretization of QM and itsSchroedinger equations are difference instead of differential equations.Exactly solvable FP equations are obtained corresponding to exactly solvable"discrete" QM, whose eigenfunctions include various deformations of theclassical orthogonal polynomials.Comment: 4 pages, no figure

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