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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 3, Pages 478–496 (Mi tmf1481)  
The group-theoretic analysis of the electron-phonon interaction in metals

L. F. Novikov

Saint-Petersburg State University
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Abstract: A group-theoretical approach to the construction of the dynamics of a uantized many-particle system with trilinear electron-phonon interaction is proposed. Fermion states are introduced by means of coherent states on the orthogonal group; a Grassmann algebra is not used. This changes the computational formalism of perturbation theory. The derivation of integral equations that determine the parameters of the superconducting state of a two-band model of a metal is considered as an example.
Received: 06.05.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 95, Issue 3, Pages 725–737
DOI: https://doi.org/10.1007/BF01017518
Bibliographic databases:
Language: Russian
Citation: L. F. Novikov, “The group-theoretic analysis of the electron-phonon interaction in metals”, TMF, 95:3 (1993), 478–496; Theoret. and Math. Phys., 95:3 (1993), 725–737
Citation in format AMSBIB
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\by L.~F.~Novikov
\paper The group-theoretic analysis of the electron-phonon interaction in metals
\jour TMF
\yr 1993
\vol 95
\issue 3
\pages 478--496
\mathnet{http://mi.mathnet.ru/tmf1481}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243408}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 3
\pages 725--737
\crossref{https://doi.org/10.1007/BF01017518}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993ML77300006}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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