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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 77, Pages 214–226 (Mi znsl1929)  
This article is cited in 1 scientific paper (total in 1 paper)

A class of potentials for the nonstationary Dirac equation

E. K. Sklyanin
Full-text PDF (494 kB) Citations (1)
Abstract: A class of nonstationary potentials for the massive Dirac equation in two-dimensional space -time is constructed and studied by the inverse scattering problem method. The $S$-matrix of these potentials is diagonal in the energy representation. The completeness of the wave operators is proved under certain assumptions on the potential. A reflection-free potential connected with the double soliton in the Gross–Neveu model is analyzed as an example.
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 5, Pages 1685–1694
DOI: https://doi.org/10.1007/BF01375616
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: E. K. Sklyanin, “A class of potentials for the nonstationary Dirac equation”, Questions of quantum field theory and statistical physics, Zap. Nauchn. Sem. LOMI, 77, "Nauka", Leningrad. Otdel., Leningrad, 1978, 214–226; J. Soviet Math., 22:5 (1983), 1685–1694
Citation in format AMSBIB
\Bibitem{Skl78}
\by E.~K.~Sklyanin
\paper A class of potentials for the nonstationary Dirac equation
\inbook Questions of quantum field theory and statistical physics
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 77
\pages 214--226
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1929}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541702}
\zmath{https://zbmath.org/?q=an:0513.47005|0426.47006}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 5
\pages 1685--1694
\crossref{https://doi.org/10.1007/BF01375616}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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