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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 347, Pages 214–237 (Mi znsl82)  
This article is cited in 9 scientific papers (total in 9 papers)

Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics II: proofs of theorems on reducibility

A. V. Sokolov

V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (294 kB) Citations (9)
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Abstract: In this part we continue the investigation of factorization of supersymmetric transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations with nonsingular coefficients. The definition is given for the potential class invariant against Darboux–Crum transformations and, further on, a number of lemmas and theorems substantiating the conjectures set forth on reducibility of differential operators for spectral equivalence transformations is proven. The analysis in general case is performed with all necessary proofs.
Received: 02.06.2006
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 2, Pages 2924–2936
DOI: https://doi.org/10.1007/s10958-008-9009-3
Bibliographic databases:
UDC: 517.9, 530.145
Language: Russian
Citation: A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics II: proofs of theorems on reducibility”, Questions of quantum field theory and statistical physics. Part 20, Zap. Nauchn. Sem. POMI, 347, POMI, St. Petersburg, 2007, 214–237; J. Math. Sci. (N. Y.), 151:2 (2008), 2924–2936
Citation in format AMSBIB
\Bibitem{Sok07}
\by A.~V.~Sokolov
\paper Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics~II: proofs of theorems on reducibility
\inbook Questions of quantum field theory and statistical physics. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 347
\pages 214--237
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl82}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2458893}
\elib{https://elibrary.ru/item.asp?id=13589513}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 2
\pages 2924--2936
\crossref{https://doi.org/10.1007/s10958-008-9009-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249131275}
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  • https://www.mathnet.ru/eng/znsl/v347/p214
    Cycle of papers
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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