Advertisement

Is Subthreshold Ionization a Chaotic Phenomenon?

  • G. Mantica
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 16)

Abstract

The dynamics of strongly perturbed quantum systems is discussed in this paper through the study of a simple model. Aiming at a clarification of the role of classical chaos in quantum mechanics, the mechanism of strong field subthreshold ionization is illustrated in different situations.

Keywords

Classical Analogue Localization Length Pure Point Quantum Evolution Quantum Region 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Proc. Int. Conf. on Quantum Chaos, Como. G. Casati Ed. (Plenum, 1985 ).Google Scholar
  2. 2.
    J. Ford, “Chaos, Solving The Unsolvable, Predicting The Unpredictable”, in Chaotic Dynamics and Fractals, M. Barnsley and S. Demko Eds. ( Academic Press, New York 1986 ).Google Scholar
  3. 3.
    G. Casati, I. Guarneri and G. Mantica, in Proc. Int. Conf. on Quantum Chaos, Como 1983; also Physica 21 D (1986) 105.Google Scholar
  4. 4.
    J. Bellissard, “Stability and Instability in Quantum Mechanics”, in Trends in The Eighties, Lect. Notes in Math., P. Blanchard Ed. (1985).Google Scholar
  5. 5.
    J.E. Bayfield and P.M. Koch, Phys. Rev. Lett. 53 (1974) 258.ADSCrossRefGoogle Scholar
  6. 6.
    B. Deione, V.P. Krainov, D.L. Shepelyansky, Sov. Phys. Uspeky 26 (1983) 551.ADSGoogle Scholar
  7. 7.
    D.L. Shepelyansky, in Ref. 1.Google Scholar
  8. 8.
    G. Casati, B.V. Chirikov, D.L. Shepelyansky Phys. Rev. Lett. 53 (1984) 2525.ADSCrossRefGoogle Scholar
  9. 9.
    J.E. Bayfield, L. Pinnaduwage, Phys Rev. Lett. 54 (1985)Google Scholar
  10. 10.
    G. Casati, B.V. Chirikov, I. Guarneri, D.L. Shepelyansky, Phys, Rev. Letters 57 (1986) 823.ADSCrossRefGoogle Scholar
  11. 11.
    J.G. Leopold, I.C. Percival, Phys. Rev. Lett. 41 (1978) 944; also J. Phys. B 12 (1979) 709.Google Scholar
  12. 12.
    R.V. Jensen, Phys. Rev. A 30 (1984) 386.ADSCrossRefGoogle Scholar
  13. 13.
    K.A.H. Van Leeuven et al., Phys. Rev. Lett. 55 (1985) 2231.ADSCrossRefGoogle Scholar
  14. 14.
    G. Casati, B.V. Chirikov, I. Guarneri,,D.L. Shepelyansky, Phys. Rev. Letters 56 (1986) 2437.ADSCrossRefGoogle Scholar
  15. 15.
    K.J. Yajima, Comm. Math. Phys. 87 (1982) 331; S. Graffi, V. Grecchi, H.J. Silverstone, Ann. Inst. Poincaré 42 (1985) 215.MathSciNetADSMATHCrossRefGoogle Scholar
  16. 16.
    S. Fishman, D.R. Grempel, R.E. Prange, Phys. Rev. Lett. 49 (1982) 509; also Phys. Rev. A 29 (1984) 1639.MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    G. Casati, I. Guarneri, Comm. Math. Phys. 95 (1984) 121; also G. Casati, J. Ford, F. Vivaldi, I. Guarneri, Phys. Rev. A 34 (1986) 1413.MathSciNetADSMATHCrossRefGoogle Scholar
  18. 18.
    B.V. Chirikov, D.L. Shepelyansky, Preprint 85–29 INP Novosibirsk 1985.Google Scholar
  19. 19.
    B.V. Chirikov, D.L. Shepelyansky, F.M. Izrailev, Sov. Scient. Rev. 2C (1981) 209.MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • G. Mantica
    • 1
  1. 1.School of PhysicsGeorgia Institute of TechnologyAtlantaUSA

Personalised recommendations