Quasi-exactly solvable Fokker-Planck equations
Statistical Mechanics
2016-09-08 v2 Other Condensed Matter
High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We consider exact and quasi-exact solvability of the one-dimensional Fokker-Planck equation based on the connection between the Fokker-Planck equation and the Schr\"odinger equation. A unified consideration of these two types of solvability is given from the viewpoint of prepotential together with Bethe ansatz equations. Quasi-exactly solvable Fokker-Planck equations related to the -based systems in Turbiner's classification are listed. We also present one -based example which is not listed in Turbiner's scheme.
Cite
@article{arxiv.0705.0863,
title = {Quasi-exactly solvable Fokker-Planck equations},
author = {Choon-Lin Ho and Ryu Sasaki},
journal= {arXiv preprint arXiv:0705.0863},
year = {2016}
}