Deformed multi-variable 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
In this paper new multi-variable deformed Fokker-Planck (FP) equations are presented. These deformed FP equations are associated with the Ruijsenaars-Schneider-van Diejen (RSvD) type systems in the same way that the usual one variable FP equation is associated with the one particle Schr\"odinger equation. As the RSvD systems are the "discrete" counterparts of the celebrated exactly solvable many-body Calogero-Sutherland-Moser systems, the deformed FP equations presented here can be considered as "discrete" deformations of the ordinary multi-variable FP equations.
Cite
@article{arxiv.cond-mat/0703291,
title = {Deformed multi-variable Fokker-Planck equations},
author = {Choon-Lin Ho and Ryu Sasaki},
journal= {arXiv preprint arXiv:cond-mat/0703291},
year = {2008}
}
Comments
8 pages, no figures