This article is cited in 2 papers

Nicolai map in supersymmetric quantum mechanics

D. T. Gegeliya, L. A. Slepchenko


Abstract: The Nicolai map is found in the case of quantum mechanics with a fermionic degree of freedom. It is shown that in quantum mechanics the existence of this map does not require the presence of supersymmetry. For the example of the problem of an electron in a two-dimensional magnetic field the connection between supersymmetry and stochastic Markov processes of the most general form is demonstrated. The Nicolai map and the corresponding Fokker–Planck equation for the Coulomb problem in two dimensions are given explicitly.

Received: 09.04.1990

 English version: Theoretical and Mathematical Physics, 1991, 86:1, 50–54

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