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TMF, 1984, Volume 61, Number 3, Pages 400–407 (Mi tmf5762)  

System of exact equations for the mass operator of quasiparticles interacting with phonons

N. V. Tkach


Abstract: A diagram technique is used to construct a system of exact equations for the total mass operator of quasiparticles interacting with phonons. Its solution is an infinite integral continued fraction with exactly determined n-th term. For the example of an exactly solvable problem, the spectrum of the ground state and all bound states of a quasiparticle with phonons is found. The part played by many-phonon processes in its formation is investigated for different magnitudes of the coupling constant.

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English version:
Theoretical and Mathematical Physics, 1984, 61:3, 1220–1225

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Received: 27.01.1984

Citation: N. V. Tkach, “System of exact equations for the mass operator of quasiparticles interacting with phonons”, TMF, 61:3 (1984), 400–407; Theoret. and Math. Phys., 61:3 (1984), 1220–1225

Citation in format AMSBIB
\Bibitem{Tka84}
\by N.~V.~Tkach
\paper System of exact equations for the mass operator of quasiparticles interacting with phonons
\jour TMF
\yr 1984
\vol 61
\issue 3
\pages 400--407
\mathnet{http://mi.mathnet.ru/tmf5762}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 3
\pages 1220--1225
\crossref{https://doi.org/10.1007/BF01035007}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984ALJ5900008}


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  • http://mi.mathnet.ru/eng/tmf/v61/i3/p400

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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