Deformed multi-variable Fokker-Planck equations

Details Deformed multi-variable Fokker-Planck equations Deformed multi-variable Fokker-Planck equations

2007-03-12

arxiv.org/abs/cond-mat/0703291v1

J.Math.Phys.48:073302,2007

Physics

Condensed Matter

Statistical Mechanics

8 pages, no figures

Scientific paper

10.1063/1.2748375

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.

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