Abstract:
The equations of motion for correlation functions of the Fröhlich model are investigated.
The equations are solved with the aid of the assumption that the triple correlations
in the phonon system are negligible. Two kinds of solutions, namely, the zone
solution and the polaron solution, are obtained for this case. Criterions of the validity
of truncations performed usually in the investigations of the Fröhlich model are established.
The structure of polaron is considered and the influence of the frequency correction
to the Hamiltonian on the kinetic properties of the system are investigated.
Citation:
A. I. Ivanov, O. A. Ponomarev, “Investigation of the Fröhlich model by the method of functional derivatives”, TMF, 30:3 (1977), 382–394; Theoret. and Math. Phys., 30:3 (1977), 246–255
\Bibitem{IvaPon77}
\by A.~I.~Ivanov, O.~A.~Ponomarev
\paper Investigation of the Fr\"ohlich model by the method of functional derivatives
\jour TMF
\yr 1977
\vol 30
\issue 3
\pages 382--394
\mathnet{http://mi.mathnet.ru/tmf2821}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462339}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 3
\pages 246--255
\crossref{https://doi.org/10.1007/BF01036718}
Linking options:
https://www.mathnet.ru/eng/tmf2821
https://www.mathnet.ru/eng/tmf/v30/i3/p382
This publication is cited in the following 2 articles:
O. A. Ponomarev, A. S. Shigaev, V. D. Lakhno, “A new method for decoupling Bogolyubov’s chains for quantum models”, Preprinty IPM im. M. V. Keldysha, 2018, 026, 34 pp.
A. I. Ivanov, G. S. Lomakin, O. A. Ponomarev, “Investigation of systems with quadratic interaction by the method of functional derivatives”, Theoret. and Math. Phys., 41:2 (1979), 1020–1028
Citation in format AMSBIB
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