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- W1992476774 abstract "We first point out that nonrelativistic quantum mechanics formulated at imaginary time s = it can formally be recognized as the Fokker-Planck description of a classical Brownian motion, which occurs (in general) in a medium where particles are absorbed and emitted. We next offer a new formulation of quantum dynamics, which is basically the Langevin treatment of that Brownian motion. More explicitly, we derive a noise average representation of the transition probability W(X, s|X', s') in terms of the solutions to a Langevin equation with a Gaussian white noise. Upon analytic continuation back to real time W(X, s|X', s') becomes the propagator of the original Schrodinger equation, namely we have X, t|X', t' = W(X, it|X', it'). The main advantage of this approach is to permit a systematic application to quantum-dynamical problems of the mathematical techniques developed in the theory of classical stochastic processes, even when vector potentials and/or time-dependent potentials are present." @default.
- W1992476774 created "2016-06-24" @default.
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- W1992476774 date "1991-10-14" @default.
- W1992476774 modified "2023-09-26" @default.
- W1992476774 title "Langevin Formulation of Quantum Dynamics" @default.
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- W1992476774 doi "https://doi.org/10.1209/0295-5075/16/7/001" @default.
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