@article{TMF_2017_191_1_a4,
author = {V. A. Gradusov and S. L. Yakovlev},
title = {Perturbation theory in the~scattering problem for a~three-particle},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {63--77},
year = {2017},
volume = {191},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a4/}
}
V. A. Gradusov; S. L. Yakovlev. Perturbation theory in the scattering problem for a three-particle. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 63-77. http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a4/
[1] L. D. Landau, E. M. Lifshits, Teoreticheskaya fizika, v. 3, Kvantovaya mekhanika: nerelyativistskaya teoriya, Nauka, M., 1974 | MR | MR | Zbl
[2] Dzh. Teilor, Teoriya rasseyaniya. Kvantovaya teoriya nerelyativistskikh stolknovenii, Nauka, M., 1975
[3] A. Messiah, Quantum Mechanics, v. I, John Wiley and Sons, New York, 1958 | MR
[4] S. P. Merkurev, L. D. Faddeev, Kvantovaya teoriya rasseyaniya dlya sistem neskolkikh chastits, Nauka, M., 1985 | MR | Zbl
[5] L. D. Faddeev, Matematicheskie voprosy kvantovoi teorii rasseyaniya dlya sistemy trekh chastits, Tr. MIAN, 69, Izd-vo AN SSSR, M.-L., 1963 | MR
[6] S. L. Yakovlev, C.-Y. Hu, D. Caballero, “Multichannel formalism for positron-hydrogen scattering and annihilation”, J. Phys. B, 40:10 (2007), 1675–1693 | DOI
[7] S. L. Yakovlev, C. Y. Hu, “Multichannel scattering and annihilation in the positron hydrogen system”, Few Body Syst., 44:1 (2008), 237–239 | DOI
[8] V. S. Buslaev, M. M. Skriganov, “Koordinatnaya asimpotika resheniya zadachi rasseyaniya dlya uravneniya Shredingera”, TMF, 19:2 (1974), 217–232 | DOI | MR | Zbl
[9] A. Ya. Povzner, “O razlozhenii proizvolnykh funktsii po sobstvennym funktsiyam operatora $-\Delta u+cu$”, Matem. sb., 32(74):1 (1953), 109–156 | MR | Zbl
[10] S. L. Yakovlev, “Differentsialnye uravneniya Faddeeva kak spektralnaya zadacha dlya nesimmetrichnogo operatora”, TMF, 107:3 (1996), 513–528 | DOI | DOI | MR | Zbl
[11] S. P. Merkurev, “O teorii rasseyaniya dlya sistemy trekh chastits s kulonovskim vzaimodeistviem”, YaF, 24:2 (1976), 289–297
[12] Z. Papp, J. Darai, A. Nishimura, Z. T. Hlousek, C.-Y. Hu, S. L. Yakovlev, “Faddeev–Merkuriev equations for resonances in three-body Coulombic systems”, Phys. Lett. A, 304:1–2 (2002), 36–42 | DOI | MR | Zbl
[13] O. A. Yakubovskii, “Ob integralnykh uravneniyakh teorii rasseyaniya $N$ chastits”, YaF, 5:6 (1967), 1312–1319
[14] S. P. Merkurev, S. L. Yakovlev, “Kvantovaya teoriya rasseyaniya dlya $N$ tel v konfiguratsionnom prostranstve”, TMF, 56:1 (1983), 60–73 | DOI | MR
[15] S. L. Yakovlev, “Kvantovaya problema $N$ tel: matrichnye struktury i uravneniya”, TMF, 181:1 (2014), 218–240 | DOI | DOI | Zbl