Geodesic
On allowing for all scattering channels in an $n$-body problem with Coulomb interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 421-427 
L. A. Sakhnovich. On allowing for all scattering channels in an $n$-body problem with Coulomb interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 421-427. http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a11/
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     author = {L. A. Sakhnovich},
     title = {On allowing for all scattering channels in an $n$-body problem with {Coulomb} interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a11/}
}
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Generalized wave operators and a generalized scattering operator are constructed for the quantum $n$-body problem. In a similar investigation [1], Dollard considered only the main scattering channel. We allow for possible bound states of several particles.

[1] J. D. Dollard, J. Math. Phys., 5 (1964), 729 | DOI | MR

[2] L. D. Faddeev, Tr. Matem. in-ta im. V. A. Steklova, t. I, XIX, 1963

[3] M. I. Kontorovich, Yu. K. Muravev, ZhTF, XXII (1952), 394 | MR

[4] G. Bete, Kvantovaya mekhanika, «Mir», 1965

[5] F. A. Berezin, Matem. sb., 76 (1968), 3 | MR

[6] L. A. Sakhnovich, Tr. Mosk. matem. ob-va, 19 (1968), 211 | MR | Zbl

[7] L. A. Sakhnovich, TMF, 2 (1970), 80

[8] L. A. Sakhnovich, Matem. sb., 81 (1970), 209 | Zbl

[9] V. S. Buslaev, V. B. Matveev, TMF, 2 (1970), 367 | MR

[10] L. A. Sakhnovich, Funkts. analiz i ego prilozheniya, 5 (1971), 61 | MR | Zbl