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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 104, Number 3, Pages 463–478 (Mi tmf1351)  
This article is cited in 64 scientific papers (total in 64 papers)

Polynomial supersymmetry and dynamical symmetries in quantum mechanics

A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze

Saint-Petersburg State University
Full-text PDF (1586 kB) Citations (64)
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Abstract: A polynomial generalization of supersymmetry in quantum mechanics is proposed in one and two dimensions. The classification of polynomial suyperalgebras is developed in one dimension. In two dimensions the comprehensive analysis is made for supercharges of second order in derivatives and it is shown that the binomial superalgebra always entails the hidden dynamical symmetry induced by a central charge.
Received: 05.12.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 104, Issue 3, Pages 1129–1140
DOI: https://doi.org/10.1007/BF02068745
Bibliographic databases:
Language: Russian
Citation: A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “Polynomial supersymmetry and dynamical symmetries in quantum mechanics”, TMF, 104:3 (1995), 463–478; Theoret. and Math. Phys., 104:3 (1995), 1129–1140
Citation in format AMSBIB
\Bibitem{AndIofNis95}
\by A.~A.~Andrianov, M.~V.~Ioffe, D.~N.~Nishnianidze
\paper Polynomial supersymmetry and dynamical symmetries in quantum mechanics
\jour TMF
\yr 1995
\vol 104
\issue 3
\pages 463--478
\mathnet{http://mi.mathnet.ru/tmf1351}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1606981}
\zmath{https://zbmath.org/?q=an:0855.47044}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 104
\issue 3
\pages 1129--1140
\crossref{https://doi.org/10.1007/BF02068745}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UE86800007}
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  • https://www.mathnet.ru/eng/tmf/v104/i3/p463
    • This publication is cited in the following 64 articles:
    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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    References:56
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