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TMF, 1978, Volume 35, Number 3, Pages 312–321 (Mi tmf3042)  

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

Scattering on a nonrelativistic particle in strong-coupling theory

A. V. Razumov, A. Yu. Taranov


Abstract: The interaction of a nonrelativistic particle with a scalar quantum field in one-dimensional space is investigated by Bogolyubov's method. In the case of strong coupling, expressions are obtained for the energy spectrum and amplitude of scattering on a dressed particle to the zeroth order in the coupling constant.

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English version:
Theoretical and Mathematical Physics, 1978, 35:3, 480–487

Bibliographic databases:

Received: 16.05.1977

Citation: A. V. Razumov, A. Yu. Taranov, “Scattering on a nonrelativistic particle in strong-coupling theory”, TMF, 35:3 (1978), 312–321; Theoret. and Math. Phys., 35:3 (1978), 480–487

Citation in format AMSBIB
\Bibitem{RazTar78}
\by A.~V.~Razumov, A.~Yu.~Taranov
\paper Scattering on a~nonrelativistic particle in strong-coupling theory
\jour TMF
\yr 1978
\vol 35
\issue 3
\pages 312--321
\mathnet{http://mi.mathnet.ru/tmf3042}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=503222}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 35
\issue 3
\pages 480--487
\crossref{https://doi.org/10.1007/BF01036443}


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  • http://mi.mathnet.ru/eng/tmf/v35/i3/p312

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sh. I. Vashakidze, V. A. Matveev, “Bogolyubov transformation in the problem of capture of a massive particle by a quantum field”, Theoret. and Math. Phys., 45:3 (1980), 1069–1077  mathnet  crossref  mathscinet  isi
    2. V. G. Budanov, “Particle in a self-consistent field some exact solutions”, Theoret. and Math. Phys., 49:2 (1981), 979–986  mathnet  crossref  mathscinet  isi
    3. A. V. Razumov, A. Yu. Taranov, “Collective coordinates on symplectic manifolds”, Theoret. and Math. Phys., 52:1 (1982), 641–647  mathnet  crossref  mathscinet  zmath  isi
    4. K. A. Sveshnikov, “Covariant perturbation theory in the neighborhood of a classical solution”, Theoret. and Math. Phys., 55:3 (1983), 553–568  mathnet  crossref  mathscinet  isi
    5. A. A. Torotadze, A. V. Shurgaya, “Two-dimensional model of the interaction of a nonrelativistic particle with scalar mesons in the strong-coupling limit”, Theoret. and Math. Phys., 76:2 (1988), 826–833  mathnet  crossref  isi
    6. Theoret. and Math. Phys., 93:3 (1992), 1345–1360  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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