Spectrum of the Fokker-Planck Hamiltonian in Minkowski Space
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概要
- 論文の詳細を見る
The stochastic quantization method is formulated in Minkowski space. Owing to a complex drift which appears in the Langevin equation (one of the basic equations of this quantization method), it is not manifest whether the system has a definite equilibrium state. To guarantee the system will reach equilibrium, the so-called ie-prescription is adopted. It is shown that in the Fokker-Planck formalism there naturally appears an effective Fokker-Planck distribution, which is complex-valued and is to be expected to become the Feynman amplitude e^<iS> in the equilibrium limit. The dynamics which governs the hypothetical thermal process can be clarified by investigating the spectrum of the Fokker-Planck Hamiltonian. Here the spectrum is studied by means of the δ-expansion technique of Bender et al. and the ordinary perturbation theory to show its important role.
- 理論物理学刊行会の論文
- 1993-04-10
著者
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NAKAZATO Hiromichi
Department of Physics, Waseda University
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Nakazato Hiromichi
Department Of Physics University Of The Ryukyus
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