Classical stochastic dynamics and extended $N = 4$ supersymmetric quantum mechanics

V. P. Berezovoj; G. I. Ivashkevych

paper

Classical stochastic dynamics and extended $N = 4$ supersymmetric quantum mechanics

arXiv:0906.5533

Abstract

This work is aimed at demonstrating the possibility to construct new exactly-solvable stochastic systems by use of the extended supersymmetric quantum mechanics ( $N = 4 S U S Y QM$ ) formalism. A feature of the proposed approach consists in $N = 4 S U S Y QM$ the fact that probability densities and so obtained new potentials, which enter the Langevin equation, have a parametric freedom. The latter allows one to change the potentials form without changing the temporal behavior of the dispersion function.

Proceedings of NPQCD 2009, Dnipropetrovsk, Ukraine

Classical stochastic dynamics and extended N=4 supersymmetric quantum mechanics

Abstract

Classical stochastic dynamics and extended $N = 4$ supersymmetric quantum mechanics