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arXiv · 0906.5533

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

V. P. Berezovoj·G. I. Ivashkevych
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Abstract

This work is aimed at demonstrating the possibility to construct new exactly-solvable stochastic systems by use of the extended supersymmetric quantum mechanics ($N=4 SUSY QM$) 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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V. P. Berezovoj, G. I. Ivashkevych. 2009-07-04. Classical stochastic dynamics and extended $N = 4$ supersymmetric quantum mechanics. https://arxiv.org/abs/0906.5533

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