Letters in Mathematical Physics

, Volume 34, Issue 3, pp 239–248 | Cite as

Driven systems with one bound state

  • Berthold-Georg Englert
Article
  • 47 Downloads

Abstract

Schwinger's quantum action principle is used to calculate transition amplitudes in systems with a single bound state that are driven by a time-dependent force. Applications to the study of multiphoton processes in the negative hydrogen ion are hinted at.

Mathematics Subject Classifications (1991)

81V80 81Q05 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes and References

  1. 1.
    Schwinger, J.:Phys. Rev. 82 (1951), 914.ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    Schwinger, J.:Proc. Natl. Acad. Sci. 46 (1960), 883.ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    Schwinger, J.:Quantum Kinematics and Dynamics, Benjamin, New York 1970 (reprinted by Addison-Wesley, Redwood City 1991).MATHGoogle Scholar
  4. 4.
    Schwinger, J.: Quantum Mechanics, Lecture Notes University of California, Los Angeles 1984–85, unpublished.Google Scholar
  5. 5.
    Lippmann, B.A. and Schwinger, J.:Phys. Rev. 79 (1950), 469.ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    Wigner, E.:Phys. Rev. 40 (1932), 749.ADSCrossRefGoogle Scholar
  7. 7.
    See, for example, Equation (A4) in, M. Cinal and B.-G. Englert,Phys. Rev. A 48 (1993), 1893.ADSCrossRefGoogle Scholar
  8. 8.
    The recent review by M. Kleber,Phys. Rep. 236. (1994) 331, deals with this problem in Sections 3.4 and 4.2. In particular, Equation (4.24) therein is essentially identical with what is produced by inserting (23) into (16).ADSCrossRefGoogle Scholar
  9. 9.
    Becker, W., Long, S. and Mclver, J. K.:Phys. Rev. A 42 (1990), 4416.ADSCrossRefGoogle Scholar
  10. 10.
    Tang, C. Y. et al.:Phys. Rev. Lett. 66 (1991), 3124.ADSCrossRefGoogle Scholar
  11. 11.
    Systematic regularizations of zero-range potentials are discussed by Wódkiewicz, K.:Phys. Rev. A 43 (1991), 68.ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Berthold-Georg Englert
    • 1
  1. 1.Max-Planck-Institut für QuantenoptikGarchingGermany

Personalised recommendations