Bogolyubov transformation in a strong coupling theory. III
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 164-178
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The paper is concerned with strongly interacting systems that are invariant under translations. If a Bogolyubov transformation is applied, the conservation laws can be taken into account explicitly, a perturbation theory in a small parameter can be constructed, and the stationary states of the system can be found in the first approximation. An equidistant spectrum of the square of the mass is obtained when a classical relativistic particle interacts with a scalar field.
@article{TMF_1972_12_2_a1,
author = {E. P. Solodovnikova and A. N. Tavkhelidze and O. A. Khrustalev},
title = {Bogolyubov transformation in a strong coupling {theory.~III}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {164--178},
year = {1972},
volume = {12},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a1/}
}
TY - JOUR AU - E. P. Solodovnikova AU - A. N. Tavkhelidze AU - O. A. Khrustalev TI - Bogolyubov transformation in a strong coupling theory. III JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1972 SP - 164 EP - 178 VL - 12 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a1/ LA - ru ID - TMF_1972_12_2_a1 ER -
E. P. Solodovnikova; A. N. Tavkhelidze; O. A. Khrustalev. Bogolyubov transformation in a strong coupling theory. III. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 164-178. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a1/
[1] N. N. Bogolyubov, Ukr. matem. zh., 2 (1950), 3 ; Избранные труды, т. 2, Киев, 1970 | MR | MR
[2] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 10 (1972), 162
[3] P. N. Bogolyubov, Soobscheniya R2-5684, OIYaI, 1971
[4] V. A. Matveev, A. N. Tavkhelidze, Preprint E2-5141, OIYaI, 1970