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 TMF, 1988, Volume 76, Number 2, Pages 231–241 (Mi tmf5056)

Two-dimensional model of the interaction of a nonrelativistic particle with scalar mesons in the strong-coupling limit

A. A. Torotadze, A. V. Shurgaya

Abstract: Bogolyubov transformations are introduced in the nonrelativistic model of the interaction of a particle with scalar mesons. A translationally invariant perturbation theory in reciprocal powers of the coupling constant is constructed in the framework of the generalized Hamiltonian formalism developed by Dirac. The transmission and reflection coefficients are obtained. The $S$ matrix is expressed in a holomorphic representation and the matrix elements are calculated.

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English version:
Theoretical and Mathematical Physics, 1988, 76:2, 826–833

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Revised: 11.05.1987

Citation: A. A. Torotadze, A. V. Shurgaya, “Two-dimensional model of the interaction of a nonrelativistic particle with scalar mesons in the strong-coupling limit”, TMF, 76:2 (1988), 231–241; Theoret. and Math. Phys., 76:2 (1988), 826–833

Citation in format AMSBIB
\Bibitem{TorShu88} \by A.~A.~Torotadze, A.~V.~Shurgaya \paper Two-dimensional model of the interaction of a~nonrelativistic particle with scalar mesons in the strong-coupling limit \jour TMF \yr 1988 \vol 76 \issue 2 \pages 231--241 \mathnet{http://mi.mathnet.ru/tmf5056} \transl \jour Theoret. and Math. Phys. \yr 1988 \vol 76 \issue 2 \pages 826--833 \crossref{https://doi.org/10.1007/BF01028582} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988U240300007}