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TMF, 1974, Volume 18, Number 3, Pages 353–366 (Mi tmf3551)  

This article is cited in 7 scientific papers (total in 7 papers)

Three-body problem in strong coupling theory

S. V. Semenov


Abstract: Bogolyubov's method is used to study the problem of three bodies that interact strongly with a scalar field. An iterative scheme is constructed for finding the energy and wave function of the system and an equation of relative motion is obtained. The limiting case of this equation corresponding to the scattering problem is investigated.

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English version:
Theoretical and Mathematical Physics, 1974, 18:3, 251–260

Received: 15.01.1973

Citation: S. V. Semenov, “Three-body problem in strong coupling theory”, TMF, 18:3 (1974), 353–366; Theoret. and Math. Phys., 18:3 (1974), 251–260

Citation in format AMSBIB
\Bibitem{Sem74}
\by S.~V.~Semenov
\paper Three-body problem in strong coupling theory
\jour TMF
\yr 1974
\vol 18
\issue 3
\pages 353--366
\mathnet{http://mi.mathnet.ru/tmf3551}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 18
\issue 3
\pages 251--260
\crossref{https://doi.org/10.1007/BF01035646}


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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. A. V. Razumov, O. A. Khrustalev, “Application of Bogolyubov's method to quantization of boson fields in the neighborhood of a classical solution”, Theoret. and Math. Phys., 29:3 (1976), 1084–1090  mathnet  crossref  mathscinet
    2. A. V. Razumov, A. Yu. Taranov, “Scattering on a nonrelativistic particle in strong-coupling theory”, Theoret. and Math. Phys., 35:3 (1978), 480–487  mathnet  crossref  mathscinet
    3. A. V. Shurgaya, “The method of collective variables and the generalized Hamiltonian formalism”, Theoret. and Math. Phys., 45:1 (1980), 873–879  mathnet  crossref  mathscinet  isi
    4. 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
    5. 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
    6. A. V. Shurgaya, “The method of collective variables in relativistic theory”, Theoret. and Math. Phys., 57:3 (1983), 1216–1225  mathnet  crossref  isi
    7. O. A. Khrustalev, M. V. Chichikina, “Bogoliubov group variables in the relativistic quantum field theory”, Theoret. and Math. Phys., 111:2 (1997), 583–591  mathnet  crossref  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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