Mixed correlation functions in systems interacting with Bose fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 142-156 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a large class of systems interacting with Bose fields, exact expressions are found for correlation functions containing products of Bose operators with evolution law of the free field and operators of the “medium.” Hierarchical equations describing the evolution of the system are constructed by means of these expressions. The Born–Markov approximation is investigated. A “causality principle” associated with the absence of an influence on the evolution of the system of stochastic forces due to the free field at short times is established.
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L. Knoll; A. S. Shumovskii. Mixed correlation functions in systems interacting with Bose fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 142-156. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a10/

[1] Bogolyubov N. N., Soobschenie E 17-11822, OIYaI, Dubna, 1978

[2] Perina J., Quantum Statistics of Linear and Nonlinear Optical Phenomena, D. Reidel Pub. Co., Dordrecht, 1984 | MR

[3] Glauber O., Kvantovaya optika i radiofizika, Mir, M., 1966

[4] Shumovsky A. S., 9-th Gen. Conf. Condensed Matt. Div. EPS, eds. J. P. Laheurte, M. Le Bellac, F. Raymond, EPS, Nice, 1989, 223

[5] Shumovsky A. S., Rustamov K., Selected Topics in Statistical Mechanics, eds. A. A. Logunov, N. N. Bogolubov(jr.), V. G. Kadyshevsky, A. S. Shumovsky, World Scientific, Singapore–New Jersey–London, 1990, 255 | MR

[6] Gardiner C. W., Collett M. J., Phys. Rev. A, 31 (1985), 3761 | DOI | MR

[7] Gardiner C. W., Porkins P., Collett M. J., J. Opt. Soc. Am. B, 4 (1987), 1683 | DOI

[8] Knöll L., Shumovsky A. S., Int. J. Mod. Phys. B, 4 (1990), 151 | DOI | MR

[9] Feinman R., Statisticheskaya mekhanika, Mir, M., 1978

[10] Frolich H., Phys. Rev., 19 (1950), 845 | DOI

[11] Bogolyubov N. N., Izbrannye trudy, t. 3, Naukova dumka, Kiev, 1971 | MR

[12] Davydov A. S., Teoriya tverdogo tela, Nauka, M., 1976 | Zbl

[13] Ilinskii Yu. A., Keldysh L. V., Vzaimodeistvie elektromagnitnogo izlucheniya s veschestvom, MGU, M., 1989

[14] Tyablikov S. V., Metody kvantovoi teorii magnetizma, Nauka, M., 1975 | MR

[15] Andreev A. V., Emelyanov V. I., Ilinskii Yu. A., Kooperativnye yavleniya v optike, Nauka, M., 1988 | Zbl

[16] Bogolyubov N. N.(ml.), Sadovnikov B. I., Shumovskii A. S., Matematicheskie metody statisticheskoi mekhaniki modelnykh sistem, Nauka, M., 1989 | MR

[17] Carusotto S., Phys. Rev. A, 40 (1989), 1848 | DOI | MR

[18] Shumovsky A. S., Tran Quang, Interaction of Electromagnetic Field with Condensed Matter, eds. N. N. Bogolubov, A. S. Shumovsky, V. I. Yukalov, World Scientific, Singapore–New Jersey–London, 1990, 103 | DOI | MR

[19] Schwinger J., On Angular Momentum, Nucl. Dev. Corp. of Am. Rept. NYO-3071, 1952 | Zbl

[20] Yamamoto Y., Haus H. A., Rew. Mod. Phys., 58 (1986), 1001 | DOI

[21] Bogolyubov N. N.(ml.), Kozerovski M., Chan Kuang, Shumovskii A. S., EChAYa, 19 (1988), 831

[22] Stratonovich R. L., Nelineinaya neravnovesnaya termodinamika, Nauka, M., 1985 | MR | Zbl

[23] Bogolyubov N. N.(ml.), Plechko V. N., Shumovskii A. S., EChAYa, 14 (1983), 1443

[24] Kiselev Yu. F., Prutkoglyad A. F., Shumovskii A. S., Yukalov V. I., ZhETF, 94 (1988), 409

[25] Bogolyubov N. N.(ml.), Fam Le Kien, Shumovskii A. S., TMF, 52 (1982), 423 | MR

[26] Bogolubov N. N.(jr.), Fam Le Kien, Shumovsky A. S., Phys. Lett. A, 107 (1985), 173 | DOI | MR

[27] Bogolyubov N. N.(ml.), Fam Le Kien, Shumovskii A. S., DAN SSSR, 288 (1986), 590

[28] Shumovsky A. S., Fam Le Kien, Aliskenderov E., J. Phys., 48 (1987), 1933 | DOI