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.
Citation:
D. T. Gegeliya, L. A. Slepchenko, “Nicolai map in supersymmetric quantum mechanics”, TMF, 86:1 (1991), 74–80; Theoret. and Math. Phys., 86:1 (1991), 50–54
This publication is cited in the following 2 articles:
Oikonomou V.K., “Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics”, Class. Quantum Gravity, 31:2 (2014), 025018
K. Kleidis, V. K. Oikonomou, “Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices”, Int J Theor Phys, 53:8 (2014), 2623