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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 86, Number 1, Pages 74–80 (Mi tmf5423)  
This article is cited in 2 scientific papers (total in 2 papers)

Nicolai map in supersymmetric quantum mechanics

D. T. Gegeliya, L. A. Slepchenko
Full-text PDF (714 kB) Citations (2)
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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, Volume 86, Issue 1, Pages 50–54
DOI: https://doi.org/10.1007/BF01018496
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
\Bibitem{GegSle91}
\by D.~T.~Gegeliya, L.~A.~Slepchenko
\paper Nicolai map in supersymmetric quantum mechanics
\jour TMF
\yr 1991
\vol 86
\issue 1
\pages 74--80
\mathnet{http://mi.mathnet.ru/tmf5423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1106827}
\zmath{https://zbmath.org/?q=an:0989.81527}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 1
\pages 50--54
\crossref{https://doi.org/10.1007/BF01018496}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GC79000006}
Linking options:
  • https://www.mathnet.ru/eng/tmf5423
  • https://www.mathnet.ru/eng/tmf/v86/i1/p74
    • This publication is cited in the following 2 articles:
    1. Oikonomou V.K., “Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics”, Class. Quantum Gravity, 31:2 (2014), 025018  crossref  isi
    2. 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  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:280
    Full-text PDF :104
    References:52
    First page:1
     
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