Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods
Junker, Georg
arXiv, 9810070 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-10-23
Classification:  Quantum Physics,  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9810070,
     author = {Junker, Georg},
     title = {Quantum and classical stochastic dynamics: Exactly solvable models by
  supersymmetric methods},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810070}
}

Junker, Georg. Quantum and classical stochastic dynamics: Exactly solvable models by
  supersymmetric methods. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810070/