Path Integral Theory of Brownian Motion

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紀要論文

On the basis of a mathematical theorem of stochastic processes, a path integral theory of Brownian motion is formulated. The abstract mathematical formula is transformed into a tractable path integral form. Besides formal manipulation, a practical method of evaluating the path integrals is presented and applied to linear and nonlinear problems of irreversible processes including Brownian motion of spins. Results are shown to be satisfactory.

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