A review of current issues in the quantum theory of envelope solitons

  • Katja Lindenberg
  • David Brown
  • Xidi Wang
Conference paper
First Online:
Part of the Lecture Notes in Physics book series (LNP, volume 319)

Keywords

Density Matrix Coherent State Soliton Solution Reduce Density Matrix Schr6dinger Equation 
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.
    Davydov, A.S., Kisluka, N. I.: Zh. Eksp. Teor. Fiz. 71, 1090 (1976) [Sov. Phys.-JETP 44, 571 (1976)].Google Scholar
  2. 2.
    Davydov, A.S.: Phys. Scr. 20, 387 (1979).Google Scholar
  3. 3.
    Davydov, A.S.: Zh. Eksp. Teor. Fiz. 78, 789 (1980) [Sov. Phys.-JETP 51, 397 (1980)].Google Scholar
  4. 4.
    Davydov, A.S.: Usp. Fiz. Nauk. 138, 603 (1982) [Sov. Phys. Usp. 25, 898 (1982)].Google Scholar
  5. 5.
    Davydov, A.S.: Biology and Quantum Mechanics. New York: Pergamon, 1982.Google Scholar
  6. 6.
    Davydov. A.S.: Solitons in Molecular Systems. Boston: Reidel, 1985.Google Scholar
  7. 7.
    Davydov. A.S.: in Solitons. Edited by S.E. Trullinger, V.E. Zhakarov, and V. I. Pokrovsky. New York: North-Holland, 1986.Google Scholar
  8. 8.
    Scott, A.C.: Phys. Rev. A26, 578 (1982).Google Scholar
  9. 9.
    Careri, G., Buontempo, U., Galluzzi, F., Scott, A.C., Gratton, E., Shyamsunder, E.: Phys. Rev. B30, 4689 (1984).Google Scholar
  10. 10.
    Eilbeck, J.C., Lomdahl, P.S., Scott, A.C.: Phys. Rev. B30, 4703 (1984).Google Scholar
  11. 11.
    Fröhlich, H,: Proc. R. Soc. London Ser. A215, 291 (1952); Adv. Phys. 3, 325 (1954).Google Scholar
  12. 12.
    Holstein, T.: Ann. Phys. (NY) 8, 325 (1959); 343, (1959).Google Scholar
  13. 13.
    Lee, T.D., Low, F.E., Pines, D.: Phys. Rev. 90, 297 (1953).Google Scholar
  14. 14.
    Grover, M., Silbey, R.: J. Chem. Phys. 54, 4843 (1971); Rackovsky, S., Silbey, R.: Mol. Phys. 25, 61 (1973).Google Scholar
  15. 15.
    Brown, D.W., Lindenberg, K., West, B.J.: J. Chem. Phys. 84, 1574 (1986).Google Scholar
  16. 16.
    Brown, D.W., Lindenberg, K., West, B.J., Cina, J., Silbey, R.: J. Chem. Phys. 87, 6700 (1987).Google Scholar
  17. 17.
    Lomdahl, P.S., Kerr, W.C.: in Physics of Many Particle Systems. Edited by A. S. Davydov. Kiev: Naukova Dumka, 1988.Google Scholar
  18. 18.
    Kerr, W.C. Lomdahl, P.S.: Phys. Rev. B35, 3629 (1987).Google Scholar
  19. 19.
    Venzl, G. Fischer, S.F.: J. Chem. Phys. 81, 6090 (1984); Phys. Rev. B32, 6437 (1985).Google Scholar
  20. 20.
    Lomdahl, P.S., Kerr, W.C.: Phys. Rev. Lett 55, 1235 (1985).Google Scholar
  21. 21.
    Lawrence, A.F., McDaniel, J.C., Chang, D.B., Pierce, B.M., Birge, P. R.: Phys. Rev. A33, 1188 (1986).Google Scholar
  22. 22.
    Takeno, S,: Prog. Theor, Phys. 69, 1798 (1983); 71, 395 (1984); 73, 853 (1985).Google Scholar
  23. 23.
    This picture is due to A. Migliori.Google Scholar
  24. 24.
    Swofford, R.L., Long, M.E., Albrecht, A.C.: J. Chem. Phys. 65, 179 (1976).Google Scholar
  25. 25.
    Swofford, R.L., Burberry, M.S., Morrell, J.A., Albrecht, A.C.: J. Chem. Phys. 66, 5245 (1977).Google Scholar
  26. 26.
    Bruinsma, R., Maki, K., Wheatley, J.: Phys. Rev. Lett. 57, 1773 (1986).Google Scholar
  27. 27.
    Scott, A.C., Gratton, E., Shyamsunder, E., Careri, G.: Phys. Rev. B32, 5551 (1985).Google Scholar
  28. 28.
    Kenkre, V.M., Reineker, P.: Exciton Dynamics in Molecular Crystals and Aggregates. Vol. 94, Springer Tracts in Modern Physics. Edited by G. Höhler. Berlin: Springer-Verlag, 1982.Google Scholar
  29. 29.
    Brown, D.W., West, B.J., Lindenberg, K,: Phys. Rev. A33, 4110 (1986).Google Scholar
  30. 30.
    Cruzeiro, L., Halding, J., Christiansen, P.L., Skϕvgaard, O., Scott, A.C.: Phys. Rev. A37, 880 (1988).Google Scholar
  31. 31.
    Skrinjar, M.J., Kapor, D.V., Stojanović, S.D.: Phys. Rev. A37, 639 (1988).Google Scholar
  32. 32.
    Brown, D.W., West, B.J., Lindenberg, K.: Phys. Rev. A37, 642 (1988).Google Scholar
  33. 33.
    Brown, D.W. Lindenberg, K., West, B.J.: Phys. Rev. A33, 4104 (1986).Google Scholar
  34. 34.
    Brown, D.W.: to appear in Phys. Rev. A (Rapid Communications).Google Scholar
  35. 35.
    Zhang, Q., Romero-Rochin, V., Silbey, R., to appear in Phys. Rev. A.Google Scholar
  36. 36.
    Skrinjar, MJ., Kapor, D.V., Stojanović, S.D.: to appear in Phys. Rev. B.Google Scholar
  37. 37.
    Wang, X., Brown, D.W., Lindenberg, K., West, B.J.: Phys. Rev. A37, 3557 (1988).Google Scholar
  38. 38.
    Scott, A.C.: Philos. Trans. R. Soc. London Ser. A 315, 423 (1986).Google Scholar
  39. 39.
    Brown, D.W., Lindenberg, K., West, B.J.: Phys. Rev. Lett. 57, 2341 (1986).Google Scholar
  40. 40.
    Brown, D.W., Lindenberg, K., West, B.J.: Phys. Rev. B35, 6169 (1987).Google Scholar
  41. 41.
    Brown, D.W., Lindenberg, K., West, B.J.: Phys. Rev. B37, 2946 (1988).Google Scholar
  42. 42.
    Glauber, R.J.: Phys. Rev. 131, 2766 (1963).Google Scholar
  43. 43.
    West, B.J., Lindenberg, K.: J. Chem. Phys. 83, 4118 (1986).Google Scholar
  44. 44.
    Wang, X., Brown, D.W., Lindenberg, K.: in preparation.Google Scholar
  45. 45.
    Careri, G., Gratton, E., Shyamsunder, E.: Phys. Rev. A37, 4048 (1988).Google Scholar
  46. 46.
    Alexander, D.M.: Phys. Rev. Lett 54, 138 (1985).Google Scholar
  47. 47.
    Migliori, A., Maxton, P.: in progress.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Katja Lindenberg
    • 1
    • 2
  • David Brown
    • 3
  • Xidi Wang
    • 4
  1. 1.Department of Chemistry, B-040University of California at San DiegoLa JollaUSA
  2. 2.Institute for Nonlinear Science, R-002University of California at San DiegoLa JollaUSA
  3. 3.Institute for Nonlinear Science, R-002University of California at San DiegoLa JollaUSA
  4. 4.Department of Physics, B-019University of California at San DiegoLa JollaUSA

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