Skip to main content
Log in

Electromagnetic transitions between rydberg states of a hydrogen atom: Violation of the dipole selection rules in a strong field

  • Atoms, Spectra, and Radiation
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

One-quantum bound-bound transitions between high-excited states of a hydrogen atom are considered. Electron wave functions involving an electromagnetic field even in a zero-order approximation are constructed semiclassically. With these functions, it is shown that transitions accompanied by violation of the dipole selection rules are possible in strong fields. The probability of such transitions is a nonlinear function of electromagnetic field intensity.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One-and Two-Electron Atoms (Academic, New York, 1957; Fizmatgiz, Moscow, 1960).

    Google Scholar 

  2. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Nauka, Moscow, 1980; Pergamon, Oxford, 1982).

    Google Scholar 

  3. L. A. Bureeva, Astron. Zh. 45, 1215 (1968) [Sov. Astron. 12, 962 (1968)].

    ADS  Google Scholar 

  4. S. P. Goreslavskii, N. B. Delone, and V. P. Krainov, Zh. Éksp. Teor. Fiz. 82, 1789 (1982) [Sov. Phys. JETP 55, 1032 (1982)].

    Google Scholar 

  5. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon, Oxford, 1977, 3rd ed.).

    Google Scholar 

  6. L. D. Landau and E. M. Lifshitz, Mechanics (Nauka, Moscow, 1973; Pergamon, Oxford, 1976).

    Google Scholar 

  7. M. Ya. Amus’ya, The Photoelectric Effect in Atoms (Nauka, Moscow, 1987).

    Google Scholar 

  8. L. V. Keldysh, Zh. Éksp. Teor. Fiz. 47, 1945 (1964) [Sov. Phys. JETP 20, 1307 (1964)].

    Google Scholar 

  9. A. I. Nikishov and V. I. Ritus, Zh. Éksp. Teor. Fiz. 50, 255 (1966) [Sov. Phys. JETP 23, 168 (1966)].

    Google Scholar 

  10. A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, Zh. Éksp. Teor. Fiz. 50, 1391 (1966) [Sov. Phys. JETP 23, 922 (1966)].

    Google Scholar 

  11. A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, Zh. Éksp. Teor. Fiz. 51, 309 (1966) [Sov. Phys. JETP 24, 207 (1966)].

    Google Scholar 

  12. N. B. Delone, V. P. Krainov, and D. L. Shepelyanskii, Usp. Fiz. Nauk 140, 355 (1983) [Sov. Phys. Usp. 26, 551 (1983)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 70, No. 7, 2000, pp. 18–21.

Original Russian Text Copyright © 2000 by Prepelitsa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prepelitsa, O.B. Electromagnetic transitions between rydberg states of a hydrogen atom: Violation of the dipole selection rules in a strong field. Tech. Phys. 45, 831–835 (2000). https://doi.org/10.1134/1.1259734

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1259734

Keywords

Navigation