Geodesic
Bogolyubov transformation in a strong coupling theory. III
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 164-178 
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/
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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.

[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