Geodesic
Particle in a self-consistent field some exact solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 198-209 
V. G. Budanov. Particle in a self-consistent field some exact solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 198-209. http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a5/
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     author = {V. G. Budanov},
     title = {Particle in a~self-consistent field some exact solutions},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Models are constructed for the interaction of a quantum-mechanical particle with a scalar self-interacting field for which it has been possible to find exact solutions in an associated problem of a particle in a self-consistent field. It is shown that the condition of regularity of the procedure of expansion with respect to the reciprocal coupling constant in the classical solution in the scheme of collective coordinates is not connected with a large value of the energy of the system in the self-consistent field approximation. The excitation spectrum of the particle in a massive field in symmetric cases and near a state with degenerate vacuum is considered.

[1] Bogolyubov N. N., UMZh, 2:2 (1960), 3–24 ; Избр. тр., т. 2, Наукова думка, Киев, 1970 | MR | MR | Zbl

[2] Solodovnikova E. P., Tavkhelidze A. N., Khrustalev O. A., TMF, 10:2 (1972), 162–181

[3] Khrustalev O. A., Razumov A. V., Taranov A. Yu., Nucl. Phys., B172:1 (1980), 44–58 ; Christ N. M., Lee T. O., Phys. Rev., D12:6 (1975), 1606–1627 ; Разумов А. В., ТМФ, 30:1 (1977), 18–26 | DOI | MR | MR | MR

[4] Gervais J. L., Jevicki A., Sakita B., Phys. Rev., D12:4 (1975), 1038–1051

[5] Filippov A. T., EChAYa, 11:3 (1980), 735–801 | MR

[6] Friedberg R., Lee T. O., Sirlin A., Phys. Rev., D13:10 (1976), 2739–2761 | MR

[7] Budanov V. G., Chastitsa v samosoglasovannom pole, nekotorye tochnye resheniya, Preprint IFVE 80-120, IFVE, Serpukhov, 1980

[8] Filippov A. T., EChAYa, 10:3 (1979), 501–538 | MR

[9] Lemieux A., Boze A. K., Ann. Inst. Henri Poincaré, 10:3 (1969), 259–270 | MR

[10] Razumov A. V., Taranov A. Yu., TMF, 35:3 (1978), 312–321 | MR

[11] Vashakidze Sh. I., Matveev V. A., Issledovanie zadachi o zakhvate massivnoi chastitsy polem, Preprint OIYaI R2-11637, OIYaI, Dubna, 1978

[12] Grib A. A., Mostepanenko V. M., Frolov V. M., TMF, 37:3 (1978), 347–354 | MR