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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 63, Pages 95–131 (Mi znsl2052)  

This article is cited in 1 scientific paper (total in 1 paper)

An $S$-matrix regularization of the trace formula for a three-particle system

S. P. Merkur'ev
Abstract: A regularized trace formula is derived which expresses the trace of the connected part of the resolvent for a three-particle system in terms of the scattering matrices for two- and three-particle systems. This relation allows us to express the third cluster integral for Boltzmann statistics in terms of $S$-matrices.
English version:
Journal of Soviet Mathematics, 1979, Volume 12, Issue 4, Pages 446–474
DOI: https://doi.org/10.1007/BF01097189
Bibliographic databases:
UDC: 530.145.6
Language: Russian
Citation: S. P. Merkur'ev, “An $S$-matrix regularization of the trace formula for a three-particle system”, Differential geometry, Lie groups and mechanics. Part II, Zap. Nauchn. Sem. LOMI, 63, "Nauka", Leningrad. Otdel., Leningrad, 1976, 95–131; J. Soviet Math., 12:4 (1979), 446–474
Citation in format AMSBIB
\Bibitem{Mer76}
\by S.~P.~Merkur'ev
\paper An $S$-matrix regularization of the trace formula for a three-particle system
\inbook Differential geometry, Lie groups and mechanics. Part~II
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 63
\pages 95--131
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2052}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=443668}
\zmath{https://zbmath.org/?q=an:0415.70009|0355.70008}
\transl
\jour J. Soviet Math.
\yr 1979
\vol 12
\issue 4
\pages 446--474
\crossref{https://doi.org/10.1007/BF01097189}
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  • https://www.mathnet.ru/eng/znsl/v63/p95
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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