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 TMF, 1976, Volume 29, Number 3, Pages 300–308 (Mi tmf3466)

Application of Bogolyubov's method to quantization of boson fields in the neighborhood of a classical solution

A. V. Razumov, O. A. Khrustalev

Abstract: Bogolyubov's method is used to quantize a boson field in the neighborhood of a two-particle classical solution in the case of a Hamiltonian with an arbitrary continuous symmetry group.

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English version:
Theoretical and Mathematical Physics, 1976, 29:3, 1084–1090

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Citation: A. V. Razumov, O. A. Khrustalev, “Application of Bogolyubov's method to quantization of boson fields in the neighborhood of a classical solution”, TMF, 29:3 (1976), 300–308; Theoret. and Math. Phys., 29:3 (1976), 1084–1090

Citation in format AMSBIB
\Bibitem{RazKhr76} \by A.~V.~Razumov, O.~A.~Khrustalev \paper Application of Bogolyubov's method to quantization of boson fields in the neighborhood of a~classical solution \jour TMF \yr 1976 \vol 29 \issue 3 \pages 300--308 \mathnet{http://mi.mathnet.ru/tmf3466} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=456096} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 29 \issue 3 \pages 1084--1090 \crossref{https://doi.org/10.1007/BF01028230} 

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This publication is cited in the following articles:
1. A. V. Razumov, A. Yu. Taranov, “Scattering on a nonrelativistic particle in strong-coupling theory”, Theoret. and Math. Phys., 35:3 (1978), 480–487
2. O. D. Timofeevskaya, “Allowance for relative group motion in charged scalar theory with two sources”, Theoret. and Math. Phys., 37:2 (1978), 969–974
3. O. D. Timofeevskaya, “Quantization in the neighborhood of a classical solution in a nonlinear $O(3)$-invariant theory”, Theoret. and Math. Phys., 37:3 (1978), 1051–1057
4. B. M. Barbashov, V. V. Nesterenko, A. M. Chervyakov, “Solitons in some geometrical field theories”, Theoret. and Math. Phys., 40:1 (1979), 572–581
5. A. V. Shurgaya, “The method of collective variables and the generalized Hamiltonian formalism”, Theoret. and Math. Phys., 45:1 (1980), 873–879
6. S. I. Zlatev, V. A. Matveev, G. A. Chechelashvili, “The problem of zero-frequency modes in the quantum theory of solitons”, Theoret. and Math. Phys., 50:3 (1982), 211–217
7. V. G. Bornyakov, “Strong coupling method in a symmetric scalar theory with two sources”, Theoret. and Math. Phys., 51:2 (1982), 476–483
8. V. G. Bornyakov, O. D. Timofeevskaya, “Bogolyubov transformation in the Lee model”, Theoret. and Math. Phys., 55:2 (1983), 451–458
9. K. A. Sveshnikov, “Covariant perturbation theory in the neighborhood of a classical solution”, Theoret. and Math. Phys., 55:3 (1983), 553–568
10. A. V. Shurgaya, “The method of collective variables in relativistic theory”, Theoret. and Math. Phys., 57:3 (1983), 1216–1225
11. V. B. Tverskoi, “Scattering of solitons by quantum excitations”, Theoret. and Math. Phys., 59:2 (1984), 452–458
12. A. E. Dorokhov, “Covariant quantization of the bag model”, Theoret. and Math. Phys., 61:1 (1984), 998–1012
13. D. V. Meshcheryakov, “A generalization of the model with $\Phi^4$ interaction”, Theoret. and Math. Phys., 61:3 (1984), 1205–1211
14. S. I. Zlatev, V. A. Matveev, “The problem of infrared divergences in soliton quantization”, Theoret. and Math. Phys., 62:1 (1985), 31–42
15. V. B. Tverskoi, “Heisenberg fields in the neighborhood of a classical solution”, Theoret. and Math. Phys., 68:3 (1986), 866–873
16. A. A. Torotadze, A. V. Shurgaya, “Two-dimensional model of the interaction of a nonrelativistic particle with scalar mesons in the strong-coupling limit”, Theoret. and Math. Phys., 76:2 (1988), 826–833
17. Theoret. and Math. Phys., 93:3 (1992), 1345–1360
18. K. A. Sveshnikov, “Nonclassical analogs of solitons in quantum field theory”, Theoret. and Math. Phys., 94:1 (1993), 39–47
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