Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods

Details Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods

1998-10-23

arxiv.org/abs/quant-ph/9810070v1

in "III. International Workshop on Classical and Quantum Integrable Systems", L.G. Mardoyan, G.S. Pogosyan and A.N. Sissakian

Physics

Quantum Physics

10 pages, 1 figure, LaTeX209, uses amsfonts and epsf, to appear in the proceedings of "III. International Workshop on Classica

Scientific paper

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.

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