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Part of the book series: NATO ASI Series ((NSSB,volume 135))

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Abstract

There is a variety of mean field theories Which are also self-consistent, according to differing criteria. In the following discussion I will use the phrase “self-consistent mean field” in a narrowly defined sense. To define this sense, let us consider two systems A and B (Fig. 1) which are coupled. Each consists of many constituents that interact among themselves. The combined A+B system is isolated.

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References

  1. R. H. Picard and C. R. Willis, Phys. Rev. A9 (1974) 343.

    MathSciNet  Google Scholar 

  2. M. Sargent, M. 0. Scully and W. Lamb, Laser Physics (Addison-Wesley, Reading 1974 ).

    Google Scholar 

  3. K. Ikeda, Opt. Comm. 30 (1979) 257.

    Article  ADS  Google Scholar 

  4. P. Lee and M. O. Scully, Phys. Rev. B3 (1971) 769.

    Article  ADS  Google Scholar 

  5. D. H. E. Gross and H. Kalinowski, Physics Reports 45 (1978) 176.

    Article  ADS  Google Scholar 

  6. S. Mukamel, et. alf Mici. Phys. A366 (1981) 1339.

    Google Scholar 

  7. H. E. Kandrup, Physics Reports 63, No. 1 (1980) 1.

    Article  MathSciNet  ADS  Google Scholar 

  8. S. Chandrashekhar, Principles of Steiler Dynamics ( Dover, New York 1942 ).

    Google Scholar 

  9. S. Chandrashekhar and J. von Neumann, Astrophys. J 95 (1942) 489 and 97 (1942) 1.

    Article  MathSciNet  ADS  Google Scholar 

  10. H. E. Kandrup, Astrophys. J. 244 (1981) 316.

    Article  MathSciNet  ADS  Google Scholar 

  11. M. Gell-Mann and K. Brueckner, Phys. Rev. 106 (1957) 364.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. A. Elei, “Semiclassical electrodynamics of alien atoms in interacting media. I: Self-consistent mean field approximation”, Ann. Phys. (N.Y.) (in press).

    Google Scholar 

  13. A. Elei, “Semiclassical electrodynamics of alien atoms in interacting media. II:: Two-level systems”, Ann. Phys. (N.Y.) (in press)

    Google Scholar 

  14. E. Fermi, Rend. Lincei 5 (1927) 795.

    Google Scholar 

  15. J. E. Krizan, Phys. Rev. D3 (1971) 2333.

    ADS  Google Scholar 

  16. C. R. Stroud and E. T. Jaynes, Phys. Rev. Al (1970) 106.

    Article  ADS  Google Scholar 

  17. M. D. Crisp and E. T. Jaynes, Phys. Rev. 179 (1969) 1253.

    Article  ADS  Google Scholar 

  18. N. D. Lang, Solid State Physics 28 (1973) 225.

    Article  Google Scholar 

  19. M. J. Stott and E. Zaremba, Phys. Rev. B22 (1980) 1564.

    Article  ADS  Google Scholar 

  20. S. Sjolander and M. J. Stott, Phys. Rev. B5 (1972) 2109.

    Google Scholar 

  21. D. Popovich, et. al, Phys. Rev. B13 (1976) 590.

    Article  ADS  Google Scholar 

  22. R. Dorrihaus and G. Nimitz, “The properties and applications of the Hg1-xGdxTe Alloy System”, in Springer Tracts in Modern Physics, Vol. 78 (1976).

    Google Scholar 

  23. S. L. McCall, Phys. Rev. A9 (1974) 1515.

    Article  ADS  Google Scholar 

  24. V. Benza and L. G. Lugiato, “Semiclassical and quantum statistical dressed mode description of optical bistability”, in Optical Bistability (Plenum Press, New York 1980), eds. C. M. Bowden, M. Cifton and H. R. Rbbl.

    Google Scholar 

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© 1986 Plenum Press, New York

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Elçi, A. (1986). Self-Consistent Mean Field Theories. In: Moore, G.T., Scully, M.O. (eds) Frontiers of Nonequilibrium Statistical Physics. NATO ASI Series, vol 135. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2181-1_29

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  • DOI: https://doi.org/10.1007/978-1-4613-2181-1_29

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9284-5

  • Online ISBN: 978-1-4613-2181-1

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