Geodesic
Quasiclassical Green's functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 103-113 
V. L. Bakhrakh; S. I. Vetchinkin; I. M. Umanskii. Quasiclassical Green's functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 103-113. http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Quasiclassical expressions are obtained for the Green's functions of one-dimensional motion in the absence and presence of turning points. These expressions make it possible to take into account multichannel effects in the higher orders of perturbation theory. An asymptotic method for calculating the amplitude of a multichannel transition $A-C-B$ in the second order of perturbation theory is considered.

[1] Bakhrakh V. L., Vetchinkin S. I., TMF, 6:3 (1971), 392–402 | MR

[2] Bakhrakh V. L., Vetchinkin S. I., Khristenko S. V., TMF, 12:2 (1972), 223–226 | Zbl

[3] Khristenko S. V., TMF, 22:1 (1975), 31–45

[4] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR

[5] Fedoryuk M. V., Metod perevala, Nauka, M., 1977 | MR

[6] Kheding Dzh., Vvedenie v metod fazovykh integralov (metod VKB), Mir, M., 1965

[7] Nikitin E. E., Umanskii S. Ya., Neadiabaticheskie perekhody pri medlennykh atomnykh stolknoveniyakh, Atomizdat, M., 1979

[8] Teoreticheskie problemy khimicheskoi fiziki, Sbornik, Nauka, M., 1982

[9] Child M. S., Molecular collision theory, Academic Press, London–New York, 1974

[10] Vetchinkin S. I., Bakhrakh V. L., Umanskii I. M., ZhETF, 81:4 (10) (1981), 1182–1194

[11] Vetchinkin S. I., Bakhrakh V. L., Umanskii I. M., Optika i spektroskopiya, 52:3 (1982), 474–480