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Probability and quanta: Why back to Nelson? (English) Zbl 0940.60092
Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 191-199 (1998).
Inspired by Nelson’s stochastic mechanics the author discusses interpretations of solutions for various physically relevant partial differential equations in terms of diffusion processes. In particular, the Schrödinger boundary data problem and Burgers flows are presented as examples.
For the entire collection see [Zbl 0903.00097].
60K40 Other physical applications of random processes
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
81P20 Stochastic mechanics (including stochastic electrodynamics)
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