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

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

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
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
3. A. V. Razumov, “Bogolyubov transformation and quantization of solitons”, Theoret. and Math. Phys., 30:1 (1977), 10–16
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
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
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
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
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. 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
10. N. I. Kashirina, V. D. Lakhno, “Large-radius bipolaron and the polaron–polaron interaction”, Phys. Usp., 53:5 (2010), 431–453
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