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Nonlinear quantum fluctuation-dissipation relations

  • Katja Lindenberg
  • Bruce J. West
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 216)

Keywords

Langevin Equation Heat Bath Dissipative Force Dinger Equation Linear Dissipation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    See e.g. S. Ma, Modern Theory of Critical Phenomena (Benjamin, London, 1976).Google Scholar
  2. 2.
    See e.g. the first eight papers in Phys. Reps. _67, No. 1, 5–54 (1980).Google Scholar
  3. 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. 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. 5.
    See e.g. Chapters 6–8 in H. Haken, Synergetics (Springer-Verlag, Berlin, 1978).Google Scholar
  6. 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. 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. 8.
    K. Lindenberg and V. Seshadri, Physica 109A, 423 (1981).Google Scholar
  9. 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. 10.
    K. Lindenberg and E. Cortés, to appear in Physica (1984).Google Scholar
  11. 11.
    M. Lax, Rev. Mod. Phys., 48, 541 (1966).Google Scholar
  12. 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. 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. 14.
    J. L. Lebowitz and E. Rubin, Phys. Rev., 131, 2381 (1963); P. Mazur and I. Oppenheim, Physica 50, 241 (1970).Google Scholar
  15. 15.
    G. W. Ford, M. Kac and P. Mazur, J. Math. Phys., 6. 504 (1965).Google Scholar
  16. 16.
    R. Kubo, J. Math. Phys., 4, 179 (1963).Google Scholar
  17. 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. 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. 19.
    R. C. Bourret, U. Frisch and A. Pouquet, Physica 65, 303 (1973).Google Scholar
  20. 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. 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. 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. 23.
    V. Seshadri, and B. J. West and K. Lindenberg, Physica 107A, 219 (1981).Google Scholar
  24. 24.
    R. Zwanzig, J. Stat. Phys. 9, 215 (1973).Google Scholar
  25. 25.
    M. Lax, Phys. Rev., 129, 2342 (1963); 145, 109 (1966).Google Scholar
  26. 26.
    P. Ullersma, Physica 32, 27, 56, 74, 90 (1966).Google Scholar
  27. 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. 28.
    R. Benguria and M. Kac, Phys. Rev. Lett., 45, 1 (1980).Google Scholar
  29. 29.
    A. O. Caldera and A. J. Leggett, Ann. of Phys., 149, 372 (1983).Google Scholar
  30. 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. 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. 32.
    S. J. Webb, Phys. Rep., 60, 201 (1980).Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Katja Lindenberg
    • 1
  • Bruce J. West
    • 2
  1. 1.Department of ChemistryUniversity of California at San DiegoLa JollaUSA
  2. 2.Center for Studies of Nonlinear DynamicsLa JollaUSA

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