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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited in 2 papers

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.

Received: 08.05.1992

Language: English


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

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