Trace formula and singularities of the $S$ matrix for a system of three one-dimensional particles. Third group integral
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 247-259 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new expression is obtained for the third group integral in terms of two- and three-particle $S$ matrices. For Bose and Fermi statisttes, the result is essentially simpler than for Boltzmann statistics. The singularities of the three-particle $S$ matrix are described compactly. The particles are assumed to be one-dimensional.
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     title = {Trace formula and singularities of the $S$ matrix for a system of three one-dimensional particles. {Third} group integral},
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V. S. Buslaev. Trace formula and singularities of the $S$ matrix for a system of three one-dimensional particles. Third group integral. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 247-259. http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a10/

[1] V. S. Buslaev, Problemy matem. fiziki, Sb., no. 4, Izd-vo LGU, 1970, 48 | MR

[2] E. Beth, G. E. Uhlenbeck, Physica, 4 (1937), 915 | DOI | Zbl

[3] N. Danford, Dzh. T. Shvarts, Lineinye operatory. Spektralnaya teoriya, «Mir», 1966

[4] L. D. Faddeev, Tr. MIAN SSSR, 69, 1963 | MR | Zbl

[5] F. T. Smith, Phys. Rev., 131 (1963), 2803 | DOI | MR

[6] F. A. Berezin, Tr. simpoziuma «Problema mnogikh tel» (Novosibirsk, 1965), «Nauka», 1967 | MR

[7] V. S. Buslaev, S. P. Merkurev, TMF, 5 (1970), 372

[8] R. Dashen, S. Ma, J. Math. Phys., 12 (1971), 689 | DOI | MR

[9] S. P. Merkurev, Vestn. LGU, 16 (1970), 32

[10] V. S. Buslaev, Zapiski nauchnykh seminarov Leningr. otd. MIAN SSSR, 27 (1972), 47 | MR | Zbl

[11] A. Ya. Povzner, Preprint No 143, FIAN SSSR, 1971