Wave packet propagation, nonlinear dynamics, and constructing Chaotic Eigenstates

  • Steven Tomsovic
Part I: Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 457)


Wave Packet Autocorrelation Function Periodic Point Homoclinic Orbit Reference Trajectory 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. J. Heller in “Chaos and Quantum Physics”, Eds. M.J. Giannoni, A. Voros, and J. Zinn-Justin, Les Houches Session LII, 1989 (Elsevier Science Publishers B.V., Amsterdam, 1991).Google Scholar
  2. 2.
    S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 67, 664 (1991); Phys. Rev. E 47, 282 (1993); Phys. Rev. Lett. 70, 1405 (1993)Google Scholar
  3. 2a.
    P. W. O'Connor, S. Tomsovic and E.J. Heller, Physica D 55, 340 (1992)Google Scholar
  4. 2b.
    M.A. Sepúlveda, S. Tomsovic, and E.J. Heller, Phys. Rev. Lett., 69, 402 (1992)Google Scholar
  5. 2c.
    E. J. Heller and S. Tomsovic, Physics Today, 46, 38 (1993).Google Scholar
  6. 3.
    I.M. Suârez Barnes, M. Nauenberg, M. Nockleby, and S. Tomsovic, Phys. Rev. Lett. 71, 1961 (1993); J. Phys. A: Math. Gen. 27, 3299 (1994).Google Scholar
  7. 4.
    E. J. Heller, J. Chem. Phys. 62, 1544 (1975).Google Scholar
  8. 5.
    R. G. Littlejohn, Physics Reports 138, 193 (1986).Google Scholar
  9. 6.
    J.A. Yeazell and C.R. Stroud Jr., Phys. Rev. Lett. 60, 1494 (1988).Google Scholar
  10. 7.
    L.D. Noordam, A. ten Wolde, H.G. Muller, A. Lagendijk, H.B. van Linden van den Heuvell, J. Phys. B: At. Mol. Opt. Phys. 21, L533 (1988).Google Scholar
  11. 8.
    A. ten Wolde, L.D. Noordam, A. Lagendijk and H.B. van Linden van den Heuvell, Phys. Rev. Lett. 61, 2099 (1988); Phys. Rev. Lett. 40, 485 (1989).Google Scholar
  12. 9.
    H.B. van Linden van den Heuvell, H.G. Muller and A. ten Wolde, Electronic and Atomic Collisions (1988) (Amsterdam: Elsevier)Google Scholar
  13. 10.
    A. ten Wolde, L.D. Noordam, H.G. Muller and H.B. van Linden van den Heuvell, Lecture Notes in Physics (1989) (Berlin: Springer)Google Scholar
  14. 11.
    J. A. Yeazell, M. Mallalieu and C. R. Stroud, Phys. Rev. Lett. 64, 2007 (1990); Phys. Rev. A 43, 5153 (1991).Google Scholar
  15. 12.
    D. R. Meacher. P. E. Meyler, I. G. Hughes and P. Ewart, J. Phys. B 24, L63 (1991).Google Scholar
  16. 13.
    G. Alber, H. Ritsch and P. Zoller, Phys. Rev. A 34, 1058 (1986)Google Scholar
  17. 13a.
    J. Parker and C.R. Stroud Jr., Phys. Rev. Lett. 56, 716 (1986)Google Scholar
  18. 13b.
    Z. Dačić Gaeta and C.R. Stroud Jr. Phys. Rev. A 42, 6308 (1990)Google Scholar
  19. 13c.
    M. Nauenberg, Phys. Rev. A 40, 1133 (1989); J. Phys. B: At. Mol. Opt. Phys. 23, L385 (1990)Google Scholar
  20. 13d.
    I.Sh. Averbukh and N.F. Perelman, Physics Letters A 139, 449 (1989); Sov. Phys. JETP 69, 464 (1990); Sov. Phys. USP 34, 572 (1991).Google Scholar
  21. 14.
    M. Mallalieu, Semiclassical Dynamics of Rydberg Electronic Wave Packets, Dissertation, University of Rochester, (1994).Google Scholar
  22. 15.
    R. P. Feynman and A. R. Hibbs, “Quantum Mechanics and Path Integrals”, McGraw-Hill, New York, (1965)Google Scholar
  23. 15a.
    L. S. Schulman, “Techniques and Applications of Path Integration”, Wiley, New York, (1981).Google Scholar
  24. 16.
    M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971), and references therein.Google Scholar
  25. 17.
    H. Poincare, “Methodes Nouvelles de la Mecanique Celeste”, English translation, ed. D. L. Goroff, AIP, Woodbury, (1993).Google Scholar
  26. 18.
    C. M. Marcus, A. J. Rimberg, R. M. Westervelt, P. F. Hopkins, and A. C. Gossard, Phys. Rev. Lett. 69, 506 (1992)Google Scholar
  27. 18a.
    H. J. Stôckmann and J. Stein, Phys. Rev. Lett. 64, 2215 (1990)Google Scholar
  28. 18b.
    J. Stein and H. J. Stôckmann, Phys. Rev. Lett. 68, 2867 (1992)Google Scholar
  29. 18c.
    H. D. Graf, H. L. Harney, H. Lengeler, C. H. Lewenkopf, C. RangacharyuluGoogle Scholar
  30. 18d.
    A. Richter, P. Schardt and H. A. Weidenmûler, Phys. Rev. Lett. 69, 1296 (1992)Google Scholar
  31. 18e.
    R. Blumel, I. H. Davidson, W. P. Reinhardt, H. Lin, and M. Sharnoff, Phys. Rev. A45, 2641 (1992)Google Scholar
  32. 18f.
    A. Kudrolli, S. Sridhar, A. Pandey, and R. Ramaswamy, Phys. Rev. E49, R11 (1994)Google Scholar
  33. 18g.
    E.J. Heller, M. F. Crommie, C. P. Lutz, D. M. Eigler, Nature 369, 464 (1994)Google Scholar
  34. 18h.
    M.W. Keller, O. Millo, A. Mittal, D. E. Prober, and R. N. Sacks, Physica, B1946, 1029 (1994)Google Scholar
  35. 18i.
    T. H. Seligman, private communicationGoogle Scholar
  36. 18j.
    A. M. Chang, H. U. Baranger, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 73, 2111 (1994).Google Scholar
  37. 19.
    L. A. Bunimovich, Funct. Anal. Appl. 8, 254 (1974); Comm. Math. Phys. 65, 295 (1979).Google Scholar
  38. 20.
    M. V. Berry and N. L. Balazs, J. Phys. A12, 625 (1979)Google Scholar
  39. 20a.
    M. V. Berry, N. L. Balazs, M. Tabor and A. Voros, Ann. Phys. (NY) 122, 26 (1979).Google Scholar
  40. 21.
    O. Bohigas, S. Tomsovic and D. Ullmo, Phys. Rep. 223, (2), 45 (1993). *** DIRECT SUPPORT *** A3418380 00007Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Steven Tomsovic
    • 1
  1. 1.Department of PhysicsWashington State UniversityPullman

Personalised recommendations