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Nonlinear quantum fluctuation-dissipation relations

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Applications of Field Theory to Statistical Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 216))

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References

  1. See e.g. S. Ma, Modern Theory of Critical Phenomena (Benjamin, London, 1976).

    Google Scholar 

  2. See e.g. the first eight papers in Phys. Reps. _67, No. 1, 5–54 (1980).

    Google Scholar 

  3. See e.g. T. Holstein, Ann. Phys., 8, 325, 343 (1959); W. P. Su, J. R. Schrieffer and A. J. Keeger, Phys. Rev., B22, 2099 (1980).

    Google Scholar 

  4. V. M. Kenkre and P. Reineker, Exciton Dynamics in Molecular Crystals and Aggregates, Springer Tracts in Modern Physics, Vol. 94 (Springer-Verlag, Berlin, 1982).

    Google Scholar 

  5. See e.g. Chapters 6–8 in H. Haken, Synergetics (Springer-Verlag, Berlin, 1978).

    Google Scholar 

  6. K. Lindenberg and B. J. West, Phys. Rev. Lett., 51, 1370 (1983); B. J. West and K. Lindenberg, in Random Walks and Their Application to Physical and Biological Sciences, AIP Proceedings 109, 111–132 (AIP, New York, 1984), eds. M. Shlesinger and B. J. West.

    Google Scholar 

  7. K. Lindenberg and B. J. West, to appear in Phys. Rev. A (1984); B. J. West and K. Lindenberg, to appear in Phys. Lett. (1984).

    Google Scholar 

  8. K. Lindenberg and V. Seshadri, Physica 109A, 423 (1981).

    Google Scholar 

  9. B. J. West, Phys. Rev., 25A, 1683 (1982); V. Seshadri and K. Lindenberg, Physica 115A, 501 (1982); K. Lindenberg, U. Mohanty and V. Seshadri, Physica 119A, 1 (1983).

    Google Scholar 

  10. K. Lindenberg and E. Cortés, to appear in Physica (1984).

    Google Scholar 

  11. M. Lax, Rev. Mod. Phys., 48, 541 (1966).

    Google Scholar 

  12. R. Kubo, Rep. Progr. Phys., 29, 255 (1966); L. E. Reichl, A Modern Course in Statistical Physics (University of Texas Press, Austin, 1980).

    Google Scholar 

  13. See e.g. R. Mazo, in Stochastic Processes in Nonequilibrium Systems, Lecture Notes in Physics Vol. 84 (Springer-Verlag, Berlin, 1978), eds. L. Garrido, P. Seglor and P. J. Shepherd.

    Google Scholar 

  14. J. L. Lebowitz and E. Rubin, Phys. Rev., 131, 2381 (1963); P. Mazur and I. Oppenheim, Physica 50, 241 (1970).

    Google Scholar 

  15. G. W. Ford, M. Kac and P. Mazur, J. Math. Phys., 6. 504 (1965).

    Google Scholar 

  16. R. Kubo, J. Math. Phys., 4, 179 (1963).

    Google Scholar 

  17. H. Haken and G. Strobl, Z. Phys. 262, 135 (1973); also in The Triplet State (Cambridge University Press, London,. 1967), ed. A. B. Zahlan.

    Google Scholar 

  18. K. Lindenberg, K. E. Shuler, V. Seshadri and B. J. West, in Probabilistic Analysis and Related Topics, Vol. 3 (Academic Press, New York, 1983), ed. A. T. Bharucha-Reid.

    Google Scholar 

  19. R. C. Bourret, U. Frisch and A. Pouquet, Physica 65, 303 (1973).

    Google Scholar 

  20. B. J. West, K. Lindenberg and V. Seshadri, Physica 102A, 470 (1980); K. Lindenberg, V. Seshadri and B. J. West, Phys. Rev., 22A, 2171 (1981); K. Lindenberg, V. Seshadri and B. J. West, Physica 105A, 445 (1981).

    Google Scholar 

  21. R. Short, L. Mandel and R. Roy, Phys. Rev. Lett., 49, 647 (1982); R. Graham, M. Holnerback and A. Schenzle, Phys. Rev. Lett., 48, 1396 (1982); S. D. Dixit and P. S. Sahni, Phys. Rev. Lett., 50, 1273 (1983), A. Schenzle and R. Graham, Phys. Lett., 98A, 319 (1983).

    Google Scholar 

  22. B. J. West and K. Lindenberg, Phys. Lett., 95A, 44 (1983); K. Lindenberg and B. J. West, to appear in Physica (1984).

    Google Scholar 

  23. V. Seshadri, and B. J. West and K. Lindenberg, Physica 107A, 219 (1981).

    Google Scholar 

  24. R. Zwanzig, J. Stat. Phys. 9, 215 (1973).

    Google Scholar 

  25. M. Lax, Phys. Rev., 129, 2342 (1963); 145, 109 (1966).

    Google Scholar 

  26. P. Ullersma, Physica 32, 27, 56, 74, 90 (1966).

    Google Scholar 

  27. H. Haken, Laser Theory, in Vol. XXV/2C of Encyclopedia of Physics (Springer-Verlag, Berlin, 1970); Rev. Mod. Phys., 47, 67 (1975).

    Google Scholar 

  28. R. Benguria and M. Kac, Phys. Rev. Lett., 45, 1 (1980).

    Google Scholar 

  29. A. O. Caldera and A. J. Leggett, Ann. of Phys., 149, 372 (1983).

    Google Scholar 

  30. A. S. Davydov, Phys. Stat. Sol., 36, 211 (1969); A. S. Davydov and N. I. Kislukha, Phys. Stat. Sol., 59, 465 (1973); ibid. 75, 735 (1976); A. S. Davydov, Physica Scripta 20, 387 (1979).

    Google Scholar 

  31. A. C. Scott, Physica Scripta 25, 651 (1982): J. M. Hyman, D. W. McLaughlin and A. C. Scott, in Long Time Prediction in Dynamics (Wiley-Interscience, New York, 1983), eds. C. W. Horton Jr., L. E. Reichl and V. G. Szebehely.

    Google Scholar 

  32. S. J. Webb, Phys. Rep., 60, 201 (1980).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Chemistry, University of California at San Diego, 92093, La Jolla, CA, USA

    Katja Lindenberg

  2. Center for Studies of Nonlinear Dynamics, P.O. Box 1434, 92038, La Jolla, CA, USA

    Bruce J. West

Authors
  1. Katja Lindenberg
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  2. Bruce J. West
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Luis Garrido

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© 1985 Springer-Verlag

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Lindenberg, K., West, B.J. (1985). Nonlinear quantum fluctuation-dissipation relations. In: Garrido, L. (eds) Applications of Field Theory to Statistical Mechanics. Lecture Notes in Physics, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13911-7_103

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  • DOI: https://doi.org/10.1007/3-540-13911-7_103

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  • Online ISBN: 978-3-540-39134-0

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