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Lévy's stochastic area in stochastic mechanics
Authors:Diego De Falco
Affiliation:(1) Università di Salerno, Italy;(2) Research Center Bielefeld-Bochum-Stochastics, University of Bielefeld, Universitatstrasse, D-4800 Bielefeld, West Germany
Abstract:
Using the methods of Hida's white noise calculus, we study Lévy's stochastic area spanned by a two-dimensional stochastic process of relevance in Nelson's stochastic mechanics. An intriguing partial relationship is found with quantum mechanical angular momentum for the associated Schrödinger wave-function.
Keywords:
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