Geodesic
Functional integral method for investigating the dynamics of a Dicke type model
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 2, pp. 279-286 
S. A. Fedotov; M. B. Shirshov. Functional integral method for investigating the dynamics of a Dicke type model. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 2, pp. 279-286. http://geodesic.mathdoc.fr/item/TMF_1986_69_2_a11/
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     author = {S. A. Fedotov and M. B. Shirshov},
     title = {Functional integral method for investigating the dynamics of {a~Dicke} type model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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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.

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