The Stochastic Quantization Method for Systems with Dissipation
High Energy Physics - Theory
2009-10-28 v1
Abstract
The stochastic quantization of dissipative systems is discussed. It is shown that in order to stochastically quantize a system with dissipation, one has to restrict the Fourier transform of the space-time variable to the positive half domain in the complex plane. This breaks the time-reversal invariance, which manifests in the formulation through the resulting noninvariant forms for the propagators. The relation of the stochastic approach with the Caldeira and Leggett path-integral method is also analyzed.
Cite
@article{arxiv.hep-th/9404167,
title = {The Stochastic Quantization Method for Systems with Dissipation},
author = {Rodanthy Tzani},
journal= {arXiv preprint arXiv:hep-th/9404167},
year = {2009}
}
Comments
13 pages, tex file, (one figure available upon request), USITP-94-06