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

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

2009-06-30

arxiv.org/abs/0906.5533v2

Physics

High Energy Physics

High Energy Physics - Theory

Proceedings of NPQCD 2009, Dnipropetrovsk, Ukraine

Scientific paper

This work is aimed at demonstrating the possibility to construct new exactly-solvable stochastic systems by use of the extended supersymmetric quantum mechanics ($N=4 SUSY QM$) formalism. A feature of the proposed approach consists in $N=4 SUSY QM$ 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.

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