Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods
Quantum Physics
2007-05-23 v1 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
A supersymmetric method for the construction of so-called conditionally exactly solvable quantum systems is reviewed and extended to classical stochastic dynamical systems characterized by a Fokker-Planck equation with drift. A class of drift-potentials on the real line as well as on the half line is constructed for which the associated Fokker-Planck equation can be solved exactly. Explicit drift potentials, which describe mono-, bi-, meta-or unstable systems, are constructed and their decay rates and modes are given in closed form.
Keywords
Cite
@article{arxiv.quant-ph/9810070,
title = {Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods},
author = {Georg Junker},
journal= {arXiv preprint arXiv:quant-ph/9810070},
year = {2007}
}
Comments
10 pages, 1 figure, LaTeX209, uses amsfonts and epsf, to appear in the proceedings of "III. International Workshop on Classical and Quantum Integrable Systems,Yerevan, Armenia, June 29 - July 04, 1998