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

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

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
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
3. A. V. Shurgaya, “The method of collective variables and the generalized Hamiltonian formalism”, Theoret. and Math. Phys., 45:1 (1980), 873–879
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
5. A. V. Razumov, A. Yu. Taranov, “Collective coordinates on symplectic manifolds”, Theoret. and Math. Phys., 52:1 (1982), 641–647
6. A. V. Shurgaya, “The method of collective variables in relativistic theory”, Theoret. and Math. Phys., 57:3 (1983), 1216–1225
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
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