Deformed Fokker-Planck Equations
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
Based on the well-known relation between Fokker-Planck equations and Schroedinger equations of quantum mechanics (QM), we propose new deformed Fokker-Planck (FP) equations associated with the Schroedinger equations of "discrete" QM. The latter is a natural discretization of QM and its Schroedinger 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 the classical orthogonal polynomials.
Cite
@article{arxiv.cond-mat/0612318,
title = {Deformed Fokker-Planck Equations},
author = {Choon-Lin Ho and Ryu Sasaki},
journal= {arXiv preprint arXiv:cond-mat/0612318},
year = {2008}
}
Comments
4 pages, no figures