Skip to main content
SpringerLink
Log in

Ionization of Rydberg atoms in a low frequency field: Modelling by maps of transition to chaotic behavior

  • Part II: Seminars
  • Conference paper
  • First Online:
Chaos — The Interplay Between Stochastic and Deterministic Behaviour

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

Abstract

We investigate a microwave ionization of highly excited atom in a low frequency field and show that such a process may be studied on the bases of map for the electron energy change during the period of the electron motion between two subsequent passages at aphelion. Simple approximate criterion results to the threshold field for transition to chaotic behavior very close to the numerical results. We show that transition from adiabatic to chaotic ionization mechanism takes place when the field frequency to the electron's Kepler frequency ration approximately equals 0.1.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Casati, I. Guarneri and D.L. Shepelyanski, IEEE J. Quant. Electron., 24, 1420 (1988).

    Google Scholar 

  2. R.V. Jensen, S.M. Suskind and M.M. Sanders, Phys. Reports, 201, 1 (1991).

    Google Scholar 

  3. P.M. Koch in Chaos and Quantum Chaos, Lecture Notes in Physics Vol. 411, ed. W. Dieter Heiss (Springer-Verlag, 1992), p. 167–224.

    Google Scholar 

  4. V. Gontis and B. Kaulakys, deposited in VINITI as No. 5087–5086, (1986) and 2 Lit. fiz. sb. (Sov. Phys.-Collect.), 27, 368 (111) (1987).

    Google Scholar 

  5. V. Gontis and B. Kaulakys, J. Phys. B: At. Mol. Phys., 20, 5051 (1987).

    Google Scholar 

  6. R.V. Jensen, Phys. Rev., A30, 386 (1989).

    Google Scholar 

  7. L.D. Landau and E.M. Lifshitz, Classical Field Theory (New York: Pergamon, 1975).

    Google Scholar 

  8. B. Kaulakys et al., Phys. Lett. A159, 261 (1991); Lith. Phys. J., 33, 354 (290) (1993).

    Google Scholar 

  9. B. Kaulakys, J. Phys. B: At. Mol. Opt. Phys., 24, 571 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics and Astronomy, 2600, Vilnius, Lithuania

    B. Kaulakys & G. Vilutis

Authors
  1. B. Kaulakys
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Vilutis
    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

Kaulakys, B., Vilutis, G. (1995). Ionization of Rydberg atoms in a low frequency field: Modelling by maps of transition to chaotic behavior. 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_70

Download citation

  • DOI: https://doi.org/10.1007/3-540-60188-0_70

  • 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