Abstract:
In the framework of Dicke type models, a theory of laser radiation of two-level
systems is constructed. The theory uses the method of ordered operators, which
makes it possible to eliminate the atomic variables and obtain an asymptotically
exact (in the sense of the thermodynamic limit) hierarchy of equations for the
mean values, which depend only on the variables of the radiation. We also consider
the derivation of kinetic equations describing the radiation.
Citation:
G. O. Balabanyan, “Use of the method of ordered operators in the theory of laser systems. Derivation of asymptotically exact equations for radiation. I”, TMF, 54:1 (1983), 130–146; Theoret. and Math. Phys., 54:1 (1983), 82–92
\Bibitem{Bal83}
\by G.~O.~Balabanyan
\paper Use of the method of ordered operators in the theory of laser systems. Derivation of asymptotically exact equations for radiation.~I
\jour TMF
\yr 1983
\vol 54
\issue 1
\pages 130--146
\mathnet{http://mi.mathnet.ru/tmf4370}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=704013}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 54
\issue 1
\pages 82--92
\crossref{https://doi.org/10.1007/BF01017128}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RF77900011}
This publication is cited in the following 5 articles:
G. O. Balabanyan, “Theory of single-mode laser radiation for Dicke type model systems”, Theoret. and Math. Phys., 58:1 (1984), 72–79
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
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
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
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
Citation in format AMSBIB
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