Abstract:
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.
Citation:
V. S. Buslaev, “Trace formula and singularities of the S matrix for a system of three one-dimensional particles. Third group integral”, TMF, 16:2 (1973), 247–259; Theoret. and Math. Phys., 16:2 (1973), 810–819
\Bibitem{Bus73}
\by V.~S.~Buslaev
\paper Trace formula and singularities of the $S$ matrix for a system of three one-dimensional particles. Third group integral
\jour TMF
\yr 1973
\vol 16
\issue 2
\pages 247--259
\mathnet{http://mi.mathnet.ru/tmf3756}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=674507}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 16
\issue 2
\pages 810--819
\crossref{https://doi.org/10.1007/BF01037134}
Linking options:
https://www.mathnet.ru/eng/tmf3756
https://www.mathnet.ru/eng/tmf/v16/i2/p247
This publication is cited in the following 3 articles:
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