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arXiv · hep-th/9411026

Supersymmetric time-continuous discrete random walks

Haret C. Rosu·Marco Reyes
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Abstract

We apply the supersymmetric procedure to one-step random walks in one dimension at the level of the usual master equation, extending a study initiated by H.R. Jauslin [Phys. Rev. A {\bf 41}, 3407 (1990)]. A discussion of the supersymmetric technique for this discrete case is presented by introducing a formal second-order discrete master derivative and its ``square root", and we solve completely, and in matrix form, the cases of homogeneous random walks (constant jumping rates). A simple generalization of Jauslin's results to two uncorrelated axes is also provided. There may be many applications, especially to bistable and multistable one-step processes.

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Haret C. Rosu, Marco Reyes. 1995-05-12. Supersymmetric time-continuous discrete random walks. https://doi.org/10.1103/physreve.51.5112

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