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Zbl 0564.60075
Meyer, P.A.; Zheng, W.A.
Construction de processus de Nelson reversibles. (French)
[A] Sémin. de probabilités XIX, Univ. Strasbourg 1983/84, Proc., Lect. Notes Math. 1123, 12-26 (1985).

[For the entire collection see Zbl 0549.00007.] \par The authors construct the "Nelson diffusions" associated to certain wave functions which arise as stationary solutions to a Schrödinger equation, under "minimal" regularity hypotheses. The method is similar to that used earlier by {\it R. Carmona} [Séminaire de probabilités XIII, Univ. Strasbourg 1977/78, Lect. Notes Math. 721, 557-569 (1979; Zbl 0401.60084)]. Both the real (reversible) and complex (stationary but not reversible) cases are discussed.
[J.Mitro]

MSC 2000:: *60J60 Diffusion processes

Keywords: Dirichlet forms; wave functions; stationary solutions; Schrödinger equation

Citations: Zbl 0549.00007; Zbl 0401.60084

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