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.
\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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https://www.mathnet.ru/eng/tmf/v18/i3/p353
This publication is cited in the following 8 articles:
O. A. Khrustalev, M. V. Chichikina, “Bogoliubov group variables in the relativistic quantum field theory”, Theoret. and Math. Phys., 111:2 (1997), 583–591
A. V. Shurgaya, “The method of collective variables in relativistic theory”, Theoret. and Math. Phys., 57:3 (1983), 1216–1225
A. V. Razumov, A. Yu. Taranov, “Collective coordinates on symplectic manifolds”, Theoret. and Math. Phys., 52:1 (1982), 641–647
A. V. Shurgaya, “The method of collective variables and the generalized Hamiltonian formalism”, Theoret. and Math. Phys., 45:1 (1980), 873–879
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
A. V. Razumov, A. Yu. Taranov, “Scattering on a nonrelativistic particle in strong-coupling theory”, Theoret. and Math. Phys., 35:3 (1978), 480–487
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
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