Stochastic Quantization of Bottomless Systems Stationary Quantities in a Diffusive Process

@article{Yuasa1999StochasticQO,
  title={Stochastic Quantization of Bottomless Systems Stationary Quantities in a Diffusive Process},
  author={Kazuya Yuasa and Hiromichi Nakazato},
  journal={Progress of Theoretical Physics},
  year={1999},
  volume={102},
  pages={719-727}
}
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. 

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