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Method of reduced description of coherent radiation

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Literature Cited

  1. A. A. Bakasov, N. N. Bogolyubov (Jr), A. S. Shumovskii, and V. I. Yukalov, “Kinetics of two-photon emission in the case of damped polarization,” Preprint R17-86-74 [in Russian], JINR, Dubna (1986).

    Google Scholar 

  2. N. N. Bogolyubov, “Kinetic equation for the electron-phonon system,” Communication E17-11822 [in English], JINR, Dubna (1978).

    Google Scholar 

  3. N. N. Bogolyubov and N. N. Bogolyubov (Jr), Fiz. Elem. Chastits At. Yadra,11, 245 (1980).

    Google Scholar 

  4. N. N. Bogolyubov and N. N. Bogolyubov (Jr), Introduction to Quantum Statistical Mechanics [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  5. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).

    Google Scholar 

  6. N. N. Bogolyubov, Selected Works, Vol. 2 [in Russian], Naukova Dumka, Kiev (1970).

    Google Scholar 

  7. N. N. Bogolyubov (Jr), Fam Le Kien, and A. S. Shumovskii, Teor. Mat. Fiz.,52, 423 (1982).

    Google Scholar 

  8. N. N. Bogolyubov (Jr), Fam Le Kien, and A. S. Shumovskii, Teor. Mat. Fiz.,53, 108 (1982).

    Google Scholar 

  9. R. Zwanzig, J. Chem. Phys.,33, 1338 (1960).

    Google Scholar 

  10. A. V. Andreev, V. I. Emel'yanov, and Yu. A. Il'inskii, Usp. Fiz. Nauk,131, 653 (1980).

    Google Scholar 

  11. Q. H. F. Vrehen and H. M. Gibbs, Top. Curr. Phys.,27, 111 (1982).

    Google Scholar 

  12. M. Gross, and S. Haroche, Phys. Rep.,93, 301 (1982).

    Google Scholar 

  13. N. N. Bogolyubov (Jr), A. A. Moldoyarov, Fam Le Kien, and A. S. Shumovskii, Teor: Mat. Fiz.,68, 449 (1986).

    Google Scholar 

  14. N. N. Bogolyubov (Jr), A. A. Moldoyarov, and A. S. Shumovskii, “On a phase transition in the Dicke model with two-photon interaction,” Preprint R17-85-414 [in Russian], JINR, Dubna (1985).

    Google Scholar 

  15. É. I. Aliskenderov, A. A. Moldoyarov, and A. S. Shumovskii, “Nonlinear two-mode Dicke model,” in: Kr. Soobshcheniya JINR (Brief Communications of the JINR) No. 10 [in Russian], JINR, Dubna (1985), p. 26.

    Google Scholar 

  16. V. I. Emel'yanov and Yu. L. Klimontovich, Kvantovaya Electron. (Moscow),3, 848 (1976).

    Google Scholar 

  17. S. Chapman and T. G. Cowling, Mathematical Theory of Nonuniform Gases, Cambridge (1952).

  18. M. Born and J. R. Oppenheimer, Ann. Phys. (N. Y.),84, 457 (1927).

    Google Scholar 

  19. Turbulence, Chaos, and Fractals (eds. C. Itzykson, Y. Pomeau, and N. Sourlas), Phys. Rep.,103, 81 (1984).

  20. N. G. Van Kampen, Phys. Rep.,124, 69 (1985).

    Google Scholar 

  21. G. E. Uhlenbeck, “The Boltzmann equation,” in: Probability and Related Topics in Physical Sciences (ed. M. Kac), London (1959).

  22. L. Van Hove, Physica (Utrecht),23, 441 (1957).

    Google Scholar 

  23. R. Zwanzig, Physica (Utrecht),30, 1109 (1964).

    Google Scholar 

  24. R. Balescu, Physica (Utrecht),56, 1 (1971).

    Google Scholar 

  25. P. N. Argyres and P. L. Kelley, Phys. Rev.,134, A98 (1964).

    Google Scholar 

  26. F. Haake, Z. Phys.,227, 179 (1969).

    Google Scholar 

  27. R. Bonifacio and L. A. Lugiato, Phys. Rev. A.,11, 1507 (1975).

    Google Scholar 

  28. R. Bonifacio, P. Schwendimann, and F. Haake, Phys. Rev. A,4, 302 (1971).

    Google Scholar 

  29. R. Bonifacio, P. Schwendimann, and F. Haake, Phys. Rev. A,4, 854 (1971).

    Google Scholar 

  30. R. Bonifacio and L. A. Lugiato, Phys. Rev. A,12, 587 (1975).

    Google Scholar 

  31. R. Florian, L. O. Schwan, and D. Schmid, Phys. Rev. A,29, 2709 (1984).

    Google Scholar 

  32. D. Pavolini, A. Grubellier, P. Pillet, L. Cabaret, and S. Liberman, Phys. Rev. Lett.,54, 1917 (1985).

    Google Scholar 

  33. F. T. Arecchi and E. Courtens, Phys. Rev. A,2, 1730 (1970).

    Google Scholar 

  34. O. Svelto, Principles of Lasers, Plenum Press, New York (1976).

    Google Scholar 

  35. L. Lugiato, P. Mandel, and L. M. Narducci, Phys. Rev. A,29, 1438 (1984).

    Google Scholar 

  36. A. S. Davydov, Quantum Mechanics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  37. N. N. Bogolyubov (Jr), Fam Le Kien, and A. S. Shumovskii, “Dynamical theory of superradiance processes,” in: Third International Symposium on Selected Problems of Statistical Mechanics [in Russian], D17-84-850, JINR, Dubna (1984).

    Google Scholar 

  38. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms, Wiley, New York (1975).

    Google Scholar 

  39. N. N. Bogolyubov (Jr), Fam Le Kien, and A. S. Shumovsky, Physica (Utrecht) A,130, 273 (1985).

    Google Scholar 

  40. D. N. Zubarev, Nonequilibrium Statistical Thermodynamics, Plenum, New York (1974).

    Google Scholar 

  41. Radiationless Processes (ed. F. G. Fong), Springer-Verlag, Berlin (1976).

    Google Scholar 

  42. N. N. Bogolyubov (Jr), E. K. Bashkirov, Fam Le Kien, and A. S. Shumovsky, Physica (utrecht) A,133, 413 (1985).

    Google Scholar 

  43. W. Bialek, Phys. Lett. A,103, 349 (1984).

    Google Scholar 

  44. K. Hepp and E. H. Lieb, Ann. Phys. (N.Y.),76, 360 (1973).

    Google Scholar 

  45. G. G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory, Wiley-Interscience, New York (1972).

    Google Scholar 

  46. G. M. Gallatin, J. Math. Phys.,24, 2564 (1983).

    Google Scholar 

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Authors
  1. A. A. Bakasov
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  2. V. I. Yukalov
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Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 72, No. 1, pp. 132–148, July, 1987.

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Bakasov, A.A., Yukalov, V.I. Method of reduced description of coherent radiation. Theor Math Phys 72, 773–786 (1987). https://doi.org/10.1007/BF01035704

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  • DOI: https://doi.org/10.1007/BF01035704

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