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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 335, Pages 22–49 (Mi znsl207)  
This article is cited in 16 scientific papers (total in 16 papers)

Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics I: general classification of reducibility and analysis of third-order algebra

A. A. Andrianov, A. V. Sokolov

V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (308 kB) Citations (16)
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Abstract: Possible factorizations of supersymmetric (SUSY) transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations with non-singular coefficients are investigated. The classification of irreducible (almost) isospectral transformations and of related SUSY algebras is presented. The detailed analysis of SUSY algebras and isospectral operators is done for the third-order case.
Received: 12.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 1, Pages 2707–2722
DOI: https://doi.org/10.1007/s10958-007-0158-6
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. A. Andrianov, A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics I: general classification of reducibility and analysis of third-order algebra”, Questions of quantum field theory and statistical physics. Part 19, Zap. Nauchn. Sem. POMI, 335, POMI, St. Petersburg, 2006, 22–49; J. Math. Sci. (N. Y.), 143:1 (2007), 2707–2722
Citation in format AMSBIB
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\by A.~A.~Andrianov, A.~V.~Sokolov
\paper Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~I:
general classification of reducibility and analysis of third-order algebra
\inbook Questions of quantum field theory and statistical physics. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 335
\pages 22--49
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2269749}
\zmath{https://zbmath.org/?q=an:1116.81024}
\elib{https://elibrary.ru/item.asp?id=9307438}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 1
\pages 2707--2722
\crossref{https://doi.org/10.1007/s10958-007-0158-6}
\elib{https://elibrary.ru/item.asp?id=13546825}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247510161}
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  • https://www.mathnet.ru/eng/znsl/v335/p22
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    This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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