Skip to main content
SpringerLink
Log in
Book cover

Chaos — The Interplay Between Stochastic and Deterministic Behaviour pp 331–353Cite as

Wave packet propagation, nonlinear dynamics, and constructing Chaotic Eigenstates

  • Part I: Lectures
  • Conference paper
  • First Online:

  • 192 Accesses

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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. 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. P. W. O'Connor, S. Tomsovic and E.J. Heller, Physica D 55, 340 (1992)

    Google Scholar 

  4. M.A. Sepúlveda, S. Tomsovic, and E.J. Heller, Phys. Rev. Lett., 69, 402 (1992)

    Google Scholar 

  5. E. J. Heller and S. Tomsovic, Physics Today, 46, 38 (1993).

    Google Scholar 

  6. 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. E. J. Heller, J. Chem. Phys. 62, 1544 (1975).

    Google Scholar 

  8. R. G. Littlejohn, Physics Reports 138, 193 (1986).

    Google Scholar 

  9. J.A. Yeazell and C.R. Stroud Jr., Phys. Rev. Lett. 60, 1494 (1988).

    Google Scholar 

  10. 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. 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. H.B. van Linden van den Heuvell, H.G. Muller and A. ten Wolde, Electronic and Atomic Collisions (1988) (Amsterdam: Elsevier)

    Google Scholar 

  13. 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. J. A. Yeazell, M. Mallalieu and C. R. Stroud, Phys. Rev. Lett. 64, 2007 (1990); Phys. Rev. A 43, 5153 (1991).

    Google Scholar 

  15. D. R. Meacher. P. E. Meyler, I. G. Hughes and P. Ewart, J. Phys. B 24, L63 (1991).

    Google Scholar 

  16. G. Alber, H. Ritsch and P. Zoller, Phys. Rev. A 34, 1058 (1986)

    Google Scholar 

  17. J. Parker and C.R. Stroud Jr., Phys. Rev. Lett. 56, 716 (1986)

    Google Scholar 

  18. Z. Dačić Gaeta and C.R. Stroud Jr. Phys. Rev. A 42, 6308 (1990)

    Google Scholar 

  19. M. Nauenberg, Phys. Rev. A 40, 1133 (1989); J. Phys. B: At. Mol. Opt. Phys. 23, L385 (1990)

    Google Scholar 

  20. 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. M. Mallalieu, Semiclassical Dynamics of Rydberg Electronic Wave Packets, Dissertation, University of Rochester, (1994).

    Google Scholar 

  22. R. P. Feynman and A. R. Hibbs, “Quantum Mechanics and Path Integrals”, McGraw-Hill, New York, (1965)

    Google Scholar 

  23. L. S. Schulman, “Techniques and Applications of Path Integration”, Wiley, New York, (1981).

    Google Scholar 

  24. M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971), and references therein.

    Google Scholar 

  25. H. Poincare, “Methodes Nouvelles de la Mecanique Celeste”, English translation, ed. D. L. Goroff, AIP, Woodbury, (1993).

    Google Scholar 

  26. 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. H. J. Stôckmann and J. Stein, Phys. Rev. Lett. 64, 2215 (1990)

    Google Scholar 

  28. J. Stein and H. J. Stôckmann, Phys. Rev. Lett. 68, 2867 (1992)

    Google Scholar 

  29. H. D. Graf, H. L. Harney, H. Lengeler, C. H. Lewenkopf, C. Rangacharyulu

    Google Scholar 

  30. A. Richter, P. Schardt and H. A. Weidenmûler, Phys. Rev. Lett. 69, 1296 (1992)

    Google Scholar 

  31. R. Blumel, I. H. Davidson, W. P. Reinhardt, H. Lin, and M. Sharnoff, Phys. Rev. A45, 2641 (1992)

    Google Scholar 

  32. A. Kudrolli, S. Sridhar, A. Pandey, and R. Ramaswamy, Phys. Rev. E49, R11 (1994)

    Google Scholar 

  33. E.J. Heller, M. F. Crommie, C. P. Lutz, D. M. Eigler, Nature 369, 464 (1994)

    Google Scholar 

  34. M.W. Keller, O. Millo, A. Mittal, D. E. Prober, and R. N. Sacks, Physica, B1946, 1029 (1994)

    Google Scholar 

  35. T. H. Seligman, private communication

    Google Scholar 

  36. A. M. Chang, H. U. Baranger, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 73, 2111 (1994).

    Google Scholar 

  37. L. A. Bunimovich, Funct. Anal. Appl. 8, 254 (1974); Comm. Math. Phys. 65, 295 (1979).

    Google Scholar 

  38. M. V. Berry and N. L. Balazs, J. Phys. A12, 625 (1979)

    Google Scholar 

  39. M. V. Berry, N. L. Balazs, M. Tabor and A. Voros, Ann. Phys. (NY) 122, 26 (1979).

    Google Scholar 

  40. O. Bohigas, S. Tomsovic and D. Ullmo, Phys. Rep. 223, (2), 45 (1993). *** DIRECT SUPPORT *** A3418380 00007

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Washington State University, 99164-2814, Pullman, WA

    Steven Tomsovic

Authors
  1. Steven Tomsovic
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Piotr Garbaczewski Marek Wolf Aleksander Weron

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag

About this paper

Cite this paper

Tomsovic, S. (1995). Wave packet propagation, nonlinear dynamics, and constructing Chaotic Eigenstates. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_65

Download citation

  • DOI: https://doi.org/10.1007/3-540-60188-0_65

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation