On stochastic motion in quantum mechanics
نویسنده
چکیده
We want to investigate the stochastic parameters, drift and diffusion, in Fényes’ and Nelson’s approach of stochastic mechanics. In contrast to the postulate of a constant diffusion parameter, we consider coordinate dependent alternatives. Therefore, we assume that the trajectory of a particle can be described by a continuous stochastic process with spaceand/or time-dependent diffusion. For an illustration of the main features that can be explained within this context, we examine the time-evolution of the free particle with the Gaussian (minimum-uncertainty) initial state and obtain a time-dependent diffusion ∝ t.
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