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 TMF, 1979, Volume 40, Number 1, Pages 77–94 (Mi tmf2804)

Kinetic equation of a dynamical system interacting with a phonon field

N. N. Bogolyubov (Jr.)

Abstract: The derivation of a general kinetic equation for an electron-phonon system is considered. A method is developed on the basis of the use of chronological and antichronologicaI $T$ products. In it, an important part is played by the elimination of the phonon variables by means of ordered $T$ products.

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English version:
Theoretical and Mathematical Physics, 1979, 40:1, 612–622

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Document Type: Article

Citation: N. N. Bogolyubov (Jr.), “Kinetic equation of a dynamical system interacting with a phonon field”, TMF, 40:1 (1979), 77–94; Theoret. and Math. Phys., 40:1 (1979), 612–622

Citation in format AMSBIB
\Bibitem{Bog79} \by N.~N.~Bogolyubov (Jr.) \paper Kinetic equation of a~dynamical system interacting with a~phonon field \jour TMF \yr 1979 \vol 40 \issue 1 \pages 77--94 \mathnet{http://mi.mathnet.ru/tmf2804} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=543981} \transl \jour Theoret. and Math. Phys. \yr 1979 \vol 40 \issue 1 \pages 612--622 \crossref{https://doi.org/10.1007/BF01019244} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JG40800008} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. È. G. Petrov, “Kinetic equations for quantum subsystems with finite number of degrees of freedom in a condensed medium”, Theoret. and Math. Phys., 46:1 (1981), 65–73
2. G. O. Balabanyan, “Construction of a kinetic equation for a quantum dynamical system interacting with a phonon field by the method of ordered operators”, Theoret. and Math. Phys., 48:1 (1981), 624–635
3. G. O. Balabanyan, “Some questions in polaron theory”, Theoret. and Math. Phys., 50:2 (1982), 196–200
4. G. O. Balabanyan, “Use of the method of ordered operators in the theory of laser systems. Derivation of asymptotically exact equations for radiation. I”, Theoret. and Math. Phys., 54:1 (1983), 82–92
5. N. N. Bogolyubov (Jr.), A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyi, “Green's functions in the dicke model. I. Evolution equation”, Theoret. and Math. Phys., 54:1 (1983), 93–97
6. G. O. Balabanyan, “Use of the method of ordered operators in the theory of laser systems. II. Construction of a theory of laser radiation for Dicke models”, Theoret. and Math. Phys., 54:2 (1983), 181–188
7. V. F. Los', A. G. Martynenko, “Closed kinetic equation for the density matrix of a subsystem interacting with phonons”, Theoret. and Math. Phys., 55:2 (1983), 523–528
8. G. O. Balabanyan, “Derivation of asymptotically exact equations for the radiation in model systems of Dicke type”, Theoret. and Math. Phys., 56:3 (1983), 912–921
9. G. O. Balabanyan, “Theory of single-mode laser radiation for Dicke type model systems”, Theoret. and Math. Phys., 58:1 (1984), 72–79
10. N. N. Bogolyubov (Jr.), A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyi, “Green's functions in the Dicke model. II. Superradiant state”, Theoret. and Math. Phys., 59:2 (1984), 483–491
11. G. O. Balabanyan, “Application of the method of ordered operators in the theory of liquid metals”, Theoret. and Math. Phys., 59:2 (1984), 499–509
12. Los V.F., “Evolution of a Subsystem in a Heat Bath With No Initial Factorized State Assumption”, Physica A, 503 (2018), 476–490
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