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 TMF, 1988, Volume 74, Number 3, Pages 373–391 (Mi tmf4483)

Quantium dynamics of an extended object in Bogolyubov's group variables

K. A. Sveshnikov

Abstract: Bogolyubov's method of group variables is used to consider the dynamics of a quantum-field Fermi–Bose system in the neighborhood of a nontrivial classical component in the form of an extended object of the type of a kink. It is shown how the quantum corrections are calculated in the framework of the method. A study is made of the kink dynamics with allowance for the quantum fluctuations that arise when it interacts with the fundamental particles of the fields; the effects due to them and related questions are discussed.

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English version:
Theoretical and Mathematical Physics, 1988, 74:3, 251–264

Bibliographic databases:

Citation: K. A. Sveshnikov, “Quantium dynamics of an extended object in Bogolyubov's group variables”, TMF, 74:3 (1988), 373–391; Theoret. and Math. Phys., 74:3 (1988), 251–264

Citation in format AMSBIB
\Bibitem{Sve88} \by K.~A.~Sveshnikov \paper Quantium dynamics of an~extended object in Bogolyubov's group variables \jour TMF \yr 1988 \vol 74 \issue 3 \pages 373--391 \mathnet{http://mi.mathnet.ru/tmf4483} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=953299} \transl \jour Theoret. and Math. Phys. \yr 1988 \vol 74 \issue 3 \pages 251--264 \crossref{https://doi.org/10.1007/BF01016618} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988U172700005} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. K. A. Sveshnikov, “Quantization in the neighborhood of a classical solution in the theory of a Fermi field”, Theoret. and Math. Phys., 75:2 (1988), 482–487
2. K. A. Sveshnikov, “Aspects of perturbation theory in the neighborhood of a classical particle-like solution”, Theoret. and Math. Phys., 76:3 (1988), 911–919
3. K. A. Sveshnikov, “Classical solution of the equations of motion in the quantum theory of Fermi fields”, Theoret. and Math. Phys., 76:1 (1988), 685–696
4. K. A. Sveshnikov, “Finite-difference effects in quantum field theory and quantization of classical solutions”, Theoret. and Math. Phys., 82:1 (1990), 37–45
5. Theoret. and Math. Phys., 93:3 (1992), 1345–1360
6. K. A. Sveshnikov, “Nonclassical analogs of solitons in quantum field theory”, Theoret. and Math. Phys., 94:1 (1993), 39–47
7. 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
8. O. A. Khrustalev, M. V. Chichikina, “Bogoliubov group variables in the relativistic quantum field theory”, Theoret. and Math. Phys., 111:2 (1997), 583–591
9. E. Yu. Spirina, O. A. Khrustalev, M. V. Chichikina, “Nonstationary polaron”, Theoret. and Math. Phys., 122:3 (2000), 347–354
10. K. A. Sveshnikov, P. K. Silaev, “Quasi-exact solution of the problem of relativistic bound states in the $(1{+}1)$-dimensional case”, Theoret. and Math. Phys., 149:3 (2006), 1665–1689
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