Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives
Quantum Physics
2009-10-30 v1
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.
Cite
@article{arxiv.quant-ph/9705042,
title = {Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives},
author = {Hagen Kleinert and Sergei V. Shabanov},
journal= {arXiv preprint arXiv:quant-ph/9705042},
year = {2009}
}
Comments
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