Geodesic
Nicolai map in supersymmetric quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 1, pp. 74-80

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     author = {D. T. Gegeliya and L. A. Slepchenko},
     title = {Nicolai map in supersymmetric quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {86},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a5/}
}
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D. T. Gegeliya; L. A. Slepchenko. Nicolai map in supersymmetric quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 1, pp. 74-80. http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a5/