Stochastic Quantization of Bottomless Systems: Stationary quantities in a diffusive process
High Energy Physics - Theory
2007-05-23 v2 Quantum Physics
Abstract
By making use of the Langevin equation with a kernel, it was shown that the Feynman measure exp(-S) can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.
Cite
@article{arxiv.hep-th/9910032,
title = {Stochastic Quantization of Bottomless Systems: Stationary quantities in a diffusive process},
author = {Kazuya Yuasa and Hiromichi Nakazato},
journal= {arXiv preprint arXiv:hep-th/9910032},
year = {2007}
}
Comments
LaTeX2e, 10 pages with 4 eps figures, to be published in Prog. Theor. Phys. 102; revised page layout