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.
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
This publication is cited in the following 44 articles:
Ostanina V M. Tomasi-Vshivtseva P.A., “Quantization of Nonlinear Fields Using Bogolyubov Variables”, Phys. Part. Nuclei Lett., 18:6 (2021), 648–651
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
Khrustalev, OA, “Collective group coordinates: quantization in the neighborhood of classical solutions”, Czechoslovak Journal of Physics, 56:10–11 (2006), 1215
F. G. Bassani, V. Cataudella, M. L. Chiofalo, G. De Filippis, G. Iadonisi, C. A. Perroni, “Electron gas with polaronic effects: beyond the mean‐field theory”, Physica Status Solidi (b), 237:1 (2003), 173
E. Yu. Spirina, O. A. Khrustalev, M. V. Chichikina, “Nonstationary polaron”, Theoret. and Math. Phys., 122:3 (2000), 347–354
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
O. A. Khrustalev, M. V. Chichikina, “Bogoliubov group variables in the relativistic quantum field theory”, Theoret. and Math. Phys., 111:2 (1997), 583–591
K. A. Sveshnikov, “Nonclassical analogs of solitons in quantum field theory”, Theoret. and Math. Phys., 94:1 (1993), 39–47
K. Sveshnikov, “Non-classical solitons”, Physics Letters B, 313:1-2 (1993), 96
V. E. Rochev, “On kinetic expansion in scalar-field theory”, Nuov Cim A, 106:4 (1993), 525
Theoret. and Math. Phys., 93:3 (1992), 1345–1360
E. A. Kochetov, M. A. Smondyrev, “Fröhlich multipolarons”, Theoret. and Math. Phys., 85:1 (1990), 1062–1072
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
A. E. Dorokhov, “Covariant quantization in models of extended objects”, Theoret. and Math. Phys., 70:1 (1987), 35–42
V. B. Tverskoi, “Heisenberg fields in the neighborhood of a classical solution”, Theoret. and Math. Phys., 68:3 (1986), 866–873
A.V. Chizhov, A.E. Dorokhov, “On the role of a recoil effect in the bag model”, Physics Letters B, 157:1 (1985), 85
N. N. Bogolubov, N. N. Bogolubov, “Some approaches to polaron theory”, Found Phys, 15:11 (1985), 1079
A. E. Dorokhov, “Covariant quantization of the bag model”, Theoret. and Math. Phys., 61:1 (1984), 998–1012
O. D. Timofeevskaya, “Bogolyubov transformation in terms of creation and annihilation operators”, Theoret. and Math. Phys., 54:3 (1983), 303–306
V. G. Bornyakov, O. D. Timofeevskaya, “Bogolyubov transformation in the Lee model”, Theoret. and Math. Phys., 55:2 (1983), 451–458
Citation in format AMSBIB
Contact us: