Geodesic
Fokker–Planck equation and allowance for quantum fluctuations in the theory of excitons and biexcitons of high density
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 295-305 
S. A. Moskalenko; A. Kh. Rotaru; Yu. M. Shvera. Fokker–Planck equation and allowance for quantum fluctuations in the theory of excitons and biexcitons of high density. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 295-305. http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a13/
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     author = {S. A. Moskalenko and A. Kh. Rotaru and Yu. M. Shvera},
     title = {Fokker{\textendash}Planck equation and allowance for quantum fluctuations in the theory of excitons and biexcitons of high density},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The methods of the quantum theory of fluctuations and damping are used to obtain a master equation for the density matrix of Bogolyubov–coherent excitons, photons, and biexcitons in solids. Glauber's $P$ representation is used to derive a Fokker–Planck equation for the system of coherent quasiparticles. Conditions are found for two-photon lasing biexcitons in the case of exciton-biexciton conversion. It is shown that transition from the disordered to the ordered phase is equivalent to a phase transition of the first kind.

[1] Birnbaum D., Opticheskie kvantovye generatory, Sov. radio, M., 1967

[2] Mikaelyan A. L., Ter-Mikaelyan, Yurkov Yu. G., Opticheskie generatory na tverdom tele, Sov. radio, M., 1967

[3] Mashkevich V. S., Kineticheskaya teoriya lazerov, Nauka, M., 1972

[4] Prokhorov A. M., Science, 149 (1965), 826–834 | DOI

[5] Sorokin P., Breaslau N., IBN J. Res. Dev., 8 (1964), 177–181 | DOI

[6] Wang E. O., Haken H., Z. für Phys., 55 (1984), 361–370 | DOI | MR

[7] Wang E. O., Haken H., Z. für Phys., 56 (1984), 77–82 | DOI | MR

[8] Basov N. G., Krokhin O. N., Popov Yu. M., ZhETF, 40:4 (1961), 1203–1210

[9] Gogolin A. A., Rashba E. I., Pisma v ZhETF, 17:12 (1973), 690–693

[10] Khadzhi P. I., Nelineinye opticheskie protsessy v sisteme eksitonov i bieksitonov v poluprovodnikakh, Shtiintsa, Kishinev, 1985

[11] Moskalenko S. A., Khadzhi P. I., Rotaru A. Kh., Solitony i nutatsiya v eksitonnoi oblasti spektra, Shtiintsa, Kishinev, 1980

[12] Moskalenko S. A., Khadzhi P. I., Rotaru A. Kh., Kiseleva E. S., Shibarshina G. D., Izv. AN SSSR, ser. fiz., 47:7 (1983), 1263–1267

[13] Moskalenko S. A., Khadzhi P. I., Rotaru A. Kh., Kiseleva E. S., Shibarshina G. D., Izv. AN SSSR, ser. fiz., 47:10 (1983), 1971–1975 | MR

[14] Rotaru A. Kh., Khadzhi P. I., Shibarshina G. D., UFZh, 31:10 (1986), 1506–1513

[15] Rotaru A. H., Shibarshina G. D., Phys. Lett., 109A:6 (1985), 292–294 | DOI | MR

[16] Rotaru A. Kh., FTT, 23:8 (1986), 2492–2494

[17] Souma H., Suzuki K., Ueta M., J. Phys. Soc. Japan, 30 (1981), 589–590 | DOI

[18] Shaklee K. L., Leheny R. F., Nabory R. F., Phys. Rev. Lett., 26:15 (1971), 888–891 | DOI

[19] Peyghembarian N., Chase L. L., Mysyrowicz A., Phys. Rev. B, 27 (1983), 2325–2346 | DOI

[20] Arekki F., Skalli M., Khaken G., Vaidlikh V., Kvantovye fluktuatsii izlucheniya lazera, Mir, M., 1974

[21] Leks M., Fluktuatsii i kogerentnye yavleniya, Mir, M., 1974

[22] Pokrovskii L. A., TMF, 62:2 (1985), 272–290 | MR