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TMF, 1974, Volume 21, Number 1, Pages 13–29 (Mi tmf3853)  

This article is cited in 10 scientific papers (total in 10 papers)

Two-body problem in adiabatic and strong coupling

E. P. Solodovnikova, A. N. Tavkhelidze


Abstract: The two-body problem is considered in the ease of an interaction that is not weak. Bogolyubov's transformation [1] is generalized to the ease of two bodies in such a way as to separate out the center of mass motion of the system and describe the relative motion of the particles.

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English version:
Theoretical and Mathematical Physics, 1974, 21:1, 935–947

Received: 21.01.1974

Citation: E. P. Solodovnikova, A. N. Tavkhelidze, “Two-body problem in adiabatic and strong coupling”, TMF, 21:1 (1974), 13–29; Theoret. and Math. Phys., 21:1 (1974), 935–947

Citation in format AMSBIB
\Bibitem{SolTav74}
\by E.~P.~Solodovnikova, A.~N.~Tavkhelidze
\paper Two-body problem in adiabatic and strong coupling
\jour TMF
\yr 1974
\vol 21
\issue 1
\pages 13--29
\mathnet{http://mi.mathnet.ru/tmf3853}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 21
\issue 1
\pages 935--947
\crossref{https://doi.org/10.1007/BF01035590}


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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. A. V. Razumov, O. A. Khrustalev, “Application of Bogolyubov's method to quantization of boson fields in the neighborhood of a classical solution”, Theoret. and Math. Phys., 29:3 (1976), 1084–1090  mathnet  crossref  mathscinet
    2. L. I. Komarov, E. V. Krylov, Nguyen Fyog Lun, I. D. Feranchuk, “Bogolyubov transformation in the theory of strong coupling of a heavy particle to a scalar field”, Theoret. and Math. Phys., 32:2 (1977), 730–736  mathnet  crossref
    3. A. V. Razumov, “Bogolyubov transformation and quantization of solitons”, Theoret. and Math. Phys., 30:1 (1977), 10–16  mathnet  crossref  mathscinet
    4. A. V. Razumov, A. Yu. Taranov, “Scattering on a nonrelativistic particle in strong-coupling theory”, Theoret. and Math. Phys., 35:3 (1978), 480–487  mathnet  crossref  mathscinet
    5. O. D. Timofeevskaya, “Allowance for relative group motion in charged scalar theory with two sources”, Theoret. and Math. Phys., 37:2 (1978), 969–974  mathnet  crossref  mathscinet
    6. Sh. I. Vashakidze, V. A. Matveev, “Bogolyubov transformation in the problem of capture of a massive particle by a quantum field”, Theoret. and Math. Phys., 45:3 (1980), 1069–1077  mathnet  crossref  mathscinet  isi
    7. S. T. Zavtrak, L. I. Komarov, I. D. Feranchuk, “Theory of the strong coupling of a particle and a quantized field with internal degrees of freedom”, Theoret. and Math. Phys., 47:1 (1981), 313–320  mathnet  crossref  isi
    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  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. N. I. Kashirina, V. D. Lakhno, “Comments on the series of works by V. K. Mukhomorov on the theory of continual polaron and two-center bipolaron (axisymmetrical quasi-molecular dimer)”, Mat. Biolog. Bioinform., 2:2 (2007), 10–28  mathnet  crossref
    10. N. I. Kashirina, V. D. Lakhno, “Large-radius bipolaron and the polaron–polaron interaction”, Phys. Usp., 53:5 (2010), 431–453  mathnet  crossref  crossref  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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