Geodesic
Born method in the problem of entry of a term into the continuum through a sloping boundary
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 84-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the framework of the quantum variant of the Demkov–0sherov model, various cases of the position of a sloping boundary of the continuum and a term of the system are considered. The problem is solved by the Born method, i.e., the principal terms of the asymptotic: behaviors of different characteristics with respect to the parameter $\sqrt{m_e/M}$ ($m_e$ is the electron mass and $M$ is the reduced mass of the atoms) are studied. 
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     title = {Born method in the problem of entry of a~term into the continuum through a~sloping boundary},
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A. K. Kazanskii. Born method in the problem of entry of a term into the continuum through a sloping boundary. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 84-101. http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a8/

[1] Yu. N. Demkov, V. N. Ostrovskii, Metod potentsialov nulevogo radiusa v atomnoi fizike, LGU, 1975

[2] Yu. N. Demkov, Voprosy teorii atomnykh stolknovenii, no. 1, LGU, 1975

[3] V. I. Osherov, ZhETF, 49 (1965), 1157; Ю. Н. Демков, ДАН СССР, 166 (1966), 1076 ; Ю. Н. Демков, В. И. Ошеров, ЖЭТФ, 53 (1967), 1589 | MR

[4] E. A. Solovev, ZhETF, 70 (1976), 872

[5] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, «Nauka», 1974 | MR

[6] L. D. Landau, Ya. A. Smorodinskii, ZhETF, 14 (1944), 269

[7] A. Z. Devdariani, Yu. N. Demkov, TMF, 21 (1974), 74

[8] A. Z. Devdariani, Avtoreferat kand. dissertatsii, LGU, 1972

[9] Dzh. Khedding, Vvedenie v metod fazovykh integralov (metod VKB), «Mir», 1965

[10] V. de Alfaro, T. Redzhe, Potentsialnoe rasseyanie, «Mir», 1966 | Zbl

[11] V. N. Ostrovskii, Vestnik LGU, 16 (1972), 31

[12] Yu. N. Demkov, V. N. Komarov, ZhETF, 50 (1966), 286

[13] A. Herzenberg, J. Phys., B1 (1968), 548; D. T. Birtwistle, A. Herzenberg, J. Phys., B4 (1971), 53