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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 57, Number 2, Pages 203–216 (Mi tmf2254)  
This article is cited in 3 scientific papers (total in 3 papers)

The inverse scattering method for a relativistic string

G. P. Pron'ko
Full-text PDF (779 kB) Citations (3)
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Abstract: A relativistic string is described by the inverse scattering method for periodic potentials. The auxiliary spectral problem and the analytic properties of the Bloch functions are investigated. A complete set of involutive relativistieally invariant integrals of the motion is obtained. Equations are obtained for string configurations that have a finite number of gaps in the spectrum of the auxiliary problem. It is shown that such a condition is equivalent to stationarity of the configurations with respect to the higher string equations. The quantum theory in the single-gap sector is discussed.
Received: 14.02.1983
English version:
Theoretical and Mathematical Physics, 1983, Volume 57, Issue 2, Pages 1086–1095
DOI: https://doi.org/10.1007/BF01018651
Bibliographic databases:
Language: Russian
Citation: G. P. Pron'ko, “The inverse scattering method for a relativistic string”, TMF, 57:2 (1983), 203–216; Theoret. and Math. Phys., 57:2 (1983), 1086–1095
Citation in format AMSBIB
\Bibitem{Pro83}
\by G.~P.~Pron'ko
\paper The inverse scattering method for a~relativistic string
\jour TMF
\yr 1983
\vol 57
\issue 2
\pages 203--216
\mathnet{http://mi.mathnet.ru/tmf2254}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=734884}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 2
\pages 1086--1095
\crossref{https://doi.org/10.1007/BF01018651}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SX71000004}
Linking options:
  • https://www.mathnet.ru/eng/tmf2254
  • https://www.mathnet.ru/eng/tmf/v57/i2/p203
    • This publication is cited in the following 3 articles:
    1. E. B. Berdnikov, G. P. Pron'ko, “Hamiltonian dynamics of finite-gap configurations of relativistic strings”, Theoret. and Math. Phys., 81:1 (1989), 1078–1087  mathnet  crossref  mathscinet  isi
    2. V. I. Borodulin, O. L. Zorin, G. P. Pron'ko, A. V. Razumov, L. D. Solov'ev, “Single-mode approximation in the quantum theory of a relativistic string. String field”, Theoret. and Math. Phys., 65:1 (1985), 1050–1065  mathnet  crossref  mathscinet  isi
    3. G. P. Pron'ko, “Theory of single-gap configurations of a relativistic string”, Theoret. and Math. Phys., 59:2 (1984), 478–483  mathnet  crossref  mathscinet  isi
    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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    Abstract page:310
    Full-text PDF :110
    References:64
    First page:2
     
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