Geodesic
Oscillator levels of a particle as a consequence of a strong interaction with a field
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 2, pp. 162-181 
E. P. Solodovnikova; A. N. Tavkhelidze; O. A. Khrustalev. Oscillator levels of a particle as a consequence of a strong interaction with a field. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 2, pp. 162-181. http://geodesic.mathdoc.fr/item/TMF_1972_10_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A Bogolyubov transformation is used to separate the motion of a particle that interacts strongly with a scalar field. The effective potential for the particle in this case reduces to an oscillator potential.

[1] V. A. Matveev, A. N. Tavkhelidze, Preprint E2-5141, OIYaI, 1970

[2] R. P. Feynman, Phys. Rev. Letters, 23 (1969), 1415 | DOI

[3] C. N. Yang, Doklad na XV Mezhdunarodnoi konferentsii po fizike vysokikh energii, Kiev, 1970; Препринт 5454, ОИЯИ, 1971

[4] N. N. Bogolyubov, Soobscheniya OIYaI, P2-5684, 1971

[5] W. Pauli, S. M. Dancoff, Phys. Rev., 62 (1942), 85 ; A. Pais, R. Seberg, Phys. Rev., 105 (1957), 1636 ; 113 (1959), 955 ; G. Wentzel, Helv. Phys. Acta, 13 (1940), 269 ; М. А. Марков, Гипероны и $K$-мезоны, Физматгиз, 1958 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl | MR | Zbl

[6] N. N. Bogolyubov, Ukr. matem. zh., 2 (1950), 3 ; Избранные труды, т. 2, «Наукова думка», 1970 ; С. В. Тябликов, ЖЭТФ, 21 (1950), 377 ; С. И. Пекар, ЖЭТФ, 19 (1949), 769; Л. Д. Ландау, С. И. Пекар, ЖЭТФ, 18 (1948), 419 | MR | MR | Zbl | MR

[7] Geilikman, ZhETF, 29, 417 ; (1955), 430 | MR | Zbl

[8] N. Frohlich, H. Pelzer, S. Zieneau, Phil. Mag., 41 (1950), 221 | DOI | Zbl

[9] T. D. Lee, F. E. Low, D. Pines, Phys. Rev., 90 (1953), 297 | DOI | MR | Zbl

[10] S. Tomonaga, Progr. Theor. Phys., 1 (1946), 109 ; 2 (1947), 6 | DOI | MR | DOI

[11] T. D. Lee, D. Pines, Phys. Rev., 92 (1953), 883 | DOI | MR | Zbl

[12] N. N. Bogolyubov, Lektsii po kvantovoi statistike, Kiev, 1949 ; Избранные труды, т. 2, «Наукова думка», 1970 | Zbl | MR

[13] A. N. Kvinikhidze, S. D. Popov, D. Ts. Stoyanov, A. N. Tavkhelidze, Preprint E2-5695, OIYaI, 1971