Abstract:
An approach is proposed to the investigation of the dynamics of model systems based on representation of the density matrix and generating functional of the temperature-time Green's functions in functional integral form. The equations for the Green's functions obtained in
this scheme are investigated, together with methods of their approximate solution. For a Dicke type model the possible dynamical regimes describing processes of nonlinear optics are determined. The dependence of the condition of onset of a phase transition in the system on
the statistics of the fields of the medium is established.
Citation:
S. A. Fedotov, M. B. Shirshov, “Functional integral method for investigating the dynamics of a Dicke type model”, TMF, 69:2 (1986), 279–286; Theoret. and Math. Phys., 69:2 (1986), 1151–1156
\Bibitem{FedShi86}
\by S.~A.~Fedotov, M.~B.~Shirshov
\paper Functional integral method for investigating the dynamics of a~Dicke type model
\jour TMF
\yr 1986
\vol 69
\issue 2
\pages 279--286
\mathnet{http://mi.mathnet.ru/tmf5226}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 69
\issue 2
\pages 1151--1156
\crossref{https://doi.org/10.1007/BF01037875}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986J382700012}
Linking options:
https://www.mathnet.ru/eng/tmf5226
https://www.mathnet.ru/eng/tmf/v69/i2/p279
This publication is cited in the following 3 articles:
D. Ebert, V. S. Yarunin, “Functional-Integral Approach to the Quantum Dynamics of Nonrelativistic Bose and Fermi Systems in the Coherent-state Representation”, Fortschr. Phys., 42:7 (1994), 589
V.S. Yarunin, “Electron-phonon optical resonance and vibrational chaos in molecules”, Physica A: Statistical Mechanics and its Applications, 197:1-2 (1993), 260
S. A. Fedotov, “Asymptotics of averages in a nonequilibrium model of Dicke type”, J Math Sci, 46:5 (1989), 2137
Citation in format AMSBIB
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