Abstract
We consider Nelson's stochastic mechanics for point sources of quantum mechanical particles with a ‘sticky-type’ boundary condition at the source—the most general boundary condition leading to continuous sample paths. For the usual quantum wave-function for a monochromatic source the radial Nelson diffusion is Brownian motion with a constant drift on [0, ∞) and with a sticky boundary at 0. We obtain detailed results for this process, its transition density, last exit times, and large time behaviour. Some of these results are independent interest.
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