Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives
arXiv:quant-ph/9705042 · doi:10.1016/S0375-9601(97)00660-9
Abstract
A supersymmetric path integral representation is developed for stochastic processes whose Langevin equation contains any number N of time derivatives, thus generalizing the Langevin equation with inertia studied by Kramers, where N=2. The supersymmetric action contains N fermion fields with first-order time derivatives whose path integral is evaluated for fermionless asymptotic states.
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Paper also at http://physik.fu-berlin.de/~kleinert/kleiner_re256/preprint.html
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