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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 020, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.020
(Mi sigma20)
 

This article is cited in 6 scientific papers (total in 6 papers)

Exact Propagators for Soliton Potentials

Andrey M. Pupasov, Boris F. Samsonov

Department of Physics, Tomsk State University, 36 Lenin Ave., 634050 Tomsk, Russia
Full-text PDF (176 kB) Citations (6)
References:
Abstract: Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.
Keywords: Darboux transformations; SUSY QM; soliton potentials; propagator.
Received: October 1, 2005; in final form November 21, 2005; Published online November 24, 2005
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 81Q60
Language: English
Citation: Andrey M. Pupasov, Boris F. Samsonov, “Exact Propagators for Soliton Potentials”, SIGMA, 1 (2005), 020, 7 pp.
Citation in format AMSBIB
\Bibitem{PupSam05}
\by Andrey M. Pupasov, Boris F. Samsonov
\paper Exact Propagators for Soliton Potentials
\jour SIGMA
\yr 2005
\vol 1
\papernumber 020
\totalpages 7
\mathnet{http://mi.mathnet.ru/sigma20}
\crossref{https://doi.org/10.3842/SIGMA.2005.020}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169843}
\zmath{https://zbmath.org/?q=an:1092.81030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207064600020}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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    Abstract page:297
    Full-text PDF :68
    References:57
     
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