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 TMF, 1992, Volume 93, Number 3, Pages 384–402 (Mi tmf1535)

Quantization of a particle-like classical solution in Bogoliubov variables without Dirac's brackets

O. A. Khrustalev, K. A. Sveshnikov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The Bogoliubov collective coordinate method is applied to soliton quantization in such a way that the soliton and the meson field are considered as independent canonical degrees of freedom of the system from the beginning. The quantization of the enlarged system proceeds by means of canonical rules without applying to Dirac's formalism of constrained systems. The true number of independent degrees of freedom is fixed by means of a set of additional conserved charges and corresponding symmetry relations. The role of the soliton recoil in the dynamics of the coupled system is discussed in detail. The full form of the Born amplitudes in the meson-soliton scattering is calculated directly in the Hamiltonian picture. The relations to others methods of soliton quantization are also discussed.

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Theoretical and Mathematical Physics, 1992, 93:3, 1345–1360

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Citation: O. A. Khrustalev, K. A. Sveshnikov, “Quantization of a particle-like classical solution in Bogoliubov variables without Dirac's brackets”, TMF, 93:3 (1992), 384–402; Theoret. and Math. Phys., 93:3 (1992), 1345–1360

Citation in format AMSBIB
\Bibitem{KhrSve92} \by O.~A.~Khrustalev, K.~A.~Sveshnikov \paper Quantization of a~particle-like classical solution in Bogoliubov variables without Dirac's brackets \jour TMF \yr 1992 \vol 93 \issue 3 \pages 384--402 \mathnet{http://mi.mathnet.ru/tmf1535} \transl \jour Theoret. and Math. Phys. \yr 1992 \vol 93 \issue 3 \pages 1345--1360 \crossref{https://doi.org/10.1007/BF01016393} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992LK67300002} 

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This publication is cited in the following articles:
1. K. A. Sveshnikov, P. K. Silaev, “Connection between discontinuous step-like and smooth kink-type classical solutions in quantum field theory”, Theoret. and Math. Phys., 108:2 (1996), 1019–1045
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