Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives

Details Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives

1997-05-24

arxiv.org/abs/quant-ph/9705042v1

Phys.Lett. A235 (1997) 105-112

Physics

Quantum Physics

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Paper also at http://physik.fu-berlin.d

Scientific paper

10.1016/S0375-9601(97)00660-9

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.

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