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TMF, 1997, Volume 111, Number 2, Pages 242–251 (Mi tmf1004)  

This article is cited in 5 scientific papers (total in 5 papers)

Bogoliubov group variables in the relativistic quantum field theory

O. A. Khrustalev, M. V. Chichikina

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

Abstract: Bogoliubov group variables are defined for the Poincare-invariant systems with a strong coupling in the $(1+1)$-dimensional space-time that makes possible to combine accurate account of conservation laws with perturbation theory. In terms of Bogoliubov group variables secondary quantization is prosecuted and the problem of states number reduction is considered. The condition of applicability of perturbation theory is discussed.

DOI: https://doi.org/10.4213/tmf1004

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English version:
Theoretical and Mathematical Physics, 1997, 111:2, 583–591

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Received: 11.12.1996

Citation: O. A. Khrustalev, M. V. Chichikina, “Bogoliubov group variables in the relativistic quantum field theory”, TMF, 111:2 (1997), 242–251; Theoret. and Math. Phys., 111:2 (1997), 583–591

Citation in format AMSBIB
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\by O.~A.~Khrustalev, M.~V.~Chichikina
\paper Bogoliubov group variables in the relativistic quantum field theory
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\vol 111
\issue 2
\pages 242--251
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\crossref{https://doi.org/10.4213/tmf1004}
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 111
\issue 2
\pages 583--591
\crossref{https://doi.org/10.1007/BF02634269}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. A. Khrustalev, M. V. Chichikina, “Bogoliubov group variables for the relativistically invariant systems”, Theoret. and Math. Phys., 111:3 (1997), 723–730  mathnet  crossref  crossref  zmath  isi
    2. P. K. Silaev, O. A. Khrustalev, “Double-periodic solutions in an essentially nonlinear one-dimensional field model”, Theoret. and Math. Phys., 117:2 (1998), 1345–1350  mathnet  crossref  crossref  zmath  isi
    3. E. Yu. Spirina, O. A. Khrustalev, M. V. Chichikina, “Nonstationary polaron”, Theoret. and Math. Phys., 122:3 (2000), 347–354  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Khrustalev, O, “Covariant collective coordinates method in path integral formalism: Application to quantum gravity on classical background”, Nuclear Physics B-Proceedings Supplements, 104 (2002), 217  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    5. Khrustalev, OA, “Collective group coordinates: quantization in the neighborhood of classical solutions”, Czechoslovak Journal of Physics, 56:10–11 (2006), 1215  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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