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Deformed multi-variable Fokker-Planck equations

Choon-Lin Ho·Ryu Sasaki
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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 Schrödinger 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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BibTeXRIS

Choon-Lin Ho, Ryu Sasaki. 2007-03-12. Deformed multi-variable Fokker-Planck equations. https://doi.org/10.1063/1.2748375

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