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TMF, 1972, Volume 11, Number 3, Pages 317–330 (Mi tmf2871)  

This article is cited in 37 scientific papers (total in 37 papers)

Bogolyubov transformation in the strong coupling theory. II

E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev


Abstract: The Bogolyubov transformation considered in [1–4] is generalized to the case of a strong particle-field interaction that is invariant under an arbitrary continuous group of transformations.

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English version:
Theoretical and Mathematical Physics, 1972, 11:3, 537–546

Received: 23.11.1971

Citation: E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, “Bogolyubov transformation in the strong coupling theory. II”, TMF, 11:3 (1972), 317–330; Theoret. and Math. Phys., 11:3 (1972), 537–546

Citation in format AMSBIB
\Bibitem{SolTavKhr72}
\by E.~P.~Solodovnikova, A.~N.~Tavkhelidze, O.~A.~Khrustalev
\paper Bogolyubov transformation in the strong coupling theory.~II
\jour TMF
\yr 1972
\vol 11
\issue 3
\pages 317--330
\mathnet{http://mi.mathnet.ru/tmf2871}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 3
\pages 537--546
\crossref{https://doi.org/10.1007/BF01028369}


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    This publication is cited in the following articles:
    1. N. E. Tyurin, A. V. Shurgaya, “Strong coupling method in fixed-source model”, Theoret. and Math. Phys., 16:2 (1973), 771–782  mathnet  crossref
    2. A. A. Arkhipov, N. E. Tyurin, “Scattering problem in the theory of strong coupling”, Theoret. and Math. Phys., 17:1 (1973), 984–990  mathnet  crossref
    3. O. D. Timofeevskaya, N. E. Tyurin, A. V. Shurgaya, “Method of strong coupling in charged scalar theory with two sources”, Theoret. and Math. Phys., 17:1 (1973), 999–1007  mathnet  crossref
    4. R. V. Jolos, V. G. Kartavenko, V. Rybarska, “Bogolyubov's method in the problem of pairing vibrations and the problem of eliminating unphysical states”, Theoret. and Math. Phys., 20:3 (1974), 873–880  mathnet  crossref
    5. A. N. Tolstenkov, N. E. Tyurin, A. V. Shurgaya, “Rong coupling method in a scalar (3)-symmetric theory”, Theoret. and Math. Phys., 19:2 (1974), 459–464  mathnet  crossref
    6. E. A. Kochetov, S. P. Kuleshov, M. A. Smondyrev, “Investigation of the polaron model by the method of functional integration”, Theoret. and Math. Phys., 25:1 (1975), 958–962  mathnet  crossref
    7. 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
    8. A. V. Shurgaya, “Motion of a nonre lativistic particle with spin in a quantum field with strong coupling”, Theoret. and Math. Phys., 28:2 (1976), 745–750  mathnet  crossref
    9. A. V. Razumov, “Bogolyubov transformation and quantization of solitons”, Theoret. and Math. Phys., 30:1 (1977), 10–16  mathnet  crossref  mathscinet
    10. E. A. Kochetov, S. P. Kuleshov, V. A. Matveev, M. A. Smondyrev, “Strong and weak coupling approximations in the two-polaron problem”, Theoret. and Math. Phys., 30:2 (1977), 117–121  mathnet  crossref
    11. A. I. Ivanov, O. A. Ponomarev, “Investigation of the Fröhlich model by the method of functional derivatives”, Theoret. and Math. Phys., 30:3 (1977), 246–255  mathnet  crossref  mathscinet
    12. 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  mathnet  crossref  mathscinet
    13. A. V. Shurgaya, “Nonrelativistic model of the interaction of a scalar particle with a quantized field”, Theoret. and Math. Phys., 34:2 (1978), 169–173  mathnet  crossref
    14. 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
    15. A. I. Ivanov, G. S. Lomakin, O. A. Ponomarev, “Investigation of systems with quadratic interaction by the method of functional derivatives”, Theoret. and Math. Phys., 41:2 (1979), 1020–1028  mathnet  crossref  mathscinet  isi
    16. A. V. Shurgaya, “The method of collective variables and the generalized Hamiltonian formalism”, Theoret. and Math. Phys., 45:1 (1980), 873–879  mathnet  crossref  mathscinet  isi
    17. 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
    18. 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
    19. P. N. Bogolyubov, A. E. Dorokhov, “Stability of classical solutions of the Yang–Mills equations with source”, Theoret. and Math. Phys., 51:2 (1982), 462–468  mathnet  crossref  mathscinet  isi
    20. V. G. Bornyakov, “Strong coupling method in a symmetric scalar theory with two sources”, Theoret. and Math. Phys., 51:2 (1982), 476–483  mathnet  crossref  isi
    21. A. V. Razumov, A. Yu. Taranov, “Collective coordinates on symplectic manifolds”, Theoret. and Math. Phys., 52:1 (1982), 641–647  mathnet  crossref  mathscinet  zmath  isi
    22. O. D. Timofeevskaya, “Bogolyubov transformation in terms of creation and annihilation operators”, Theoret. and Math. Phys., 54:3 (1983), 303–306  mathnet  crossref  mathscinet  isi
    23. V. G. Bornyakov, O. D. Timofeevskaya, “Bogolyubov transformation in the Lee model”, Theoret. and Math. Phys., 55:2 (1983), 451–458  mathnet  crossref  mathscinet  isi
    24. K. A. Sveshnikov, “Covariant perturbation theory in the neighborhood of a classical solution”, Theoret. and Math. Phys., 55:3 (1983), 553–568  mathnet  crossref  mathscinet  isi
    25. A. V. Shurgaya, “The method of collective variables in relativistic theory”, Theoret. and Math. Phys., 57:3 (1983), 1216–1225  mathnet  crossref  isi
    26. A. E. Dorokhov, “Covariant quantization of the bag model”, Theoret. and Math. Phys., 61:1 (1984), 998–1012  mathnet  crossref  mathscinet  isi
    27. V. B. Tverskoi, “Heisenberg fields in the neighborhood of a classical solution”, Theoret. and Math. Phys., 68:3 (1986), 866–873  mathnet  crossref  mathscinet  isi
    28. A. E. Dorokhov, “Covariant quantization in models of extended objects”, Theoret. and Math. Phys., 70:1 (1987), 35–42  mathnet  crossref  isi
    29. 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  mathnet  crossref  isi
    30. E. A. Kochetov, M. A. Smondyrev, “Fröhlich multipolarons”, Theoret. and Math. Phys., 85:1 (1990), 1062–1072  mathnet  crossref  isi
    31. Theoret. and Math. Phys., 93:3 (1992), 1345–1360  mathnet  crossref  isi
    32. K. A. Sveshnikov, “Nonclassical analogs of solitons in quantum field theory”, Theoret. and Math. Phys., 94:1 (1993), 39–47  mathnet  crossref  mathscinet  zmath  isi
    33. 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
    34. 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
    35. 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
    36. Khrustalev, OA, “Collective group coordinates: quantization in the neighborhood of classical solutions”, Czechoslovak Journal of Physics, 56:10–11 (2006), 1215  crossref  isi
    37. Jafarov R.G. Agham-Alieva L.A. Agha-Kishieva P.E. Rahim-zade S.G. Mamedova S.N. Mutallimov M.M., “Problem of the Landau Poles in Quantum Field Theory: from N. N. Bogolyubov to the Present Day”, Russ. Phys. J., 59:11 (2017), 1971–1980  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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