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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     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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}
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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/

[1] Bogolyubov N. I. (ml.), Fam Le Kien, Shumovskii A. S., TMF, 52:3 (1982), 423–430 | MR

[2] Bogolyubov N. I. (ml.), Fam Le Kien, Shumovskii A. S., TMF, 60:2 (1984), 254–261 | MR

[3] Bogolyubov N. N. (ml.), Kazaryan A. R., Kurbatov A. M., Neskromnyi V. N., TMF, 54:1 (1983), 147–153 | MR

[4] Balabanyan G. O., TMF, 58:1 (1984), 109–120

[5] Fedotov S. A., Zap. nauchn. semin. LOMI, 131, 1983, 147–165 | MR

[6] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[7] Kadanov L., Beim G., Kvantovaya statisticheskaya mekhanika, Mir, M., 1964

[8] Keldysh L. V., ZhETF, 47 (1964), 1515–1523

[9] Kiryanov V. B., Yarunin V. S., TMF, 51:3 (1982), 456–464 | MR