Skip to main content
Log in

A nonlinear electrodynamical shift of spectral lines in the hydrogen atom and hydrogen-like ions

  • Spectroscopy of Atoms and Molecules
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

The shift of spectral lines in the hydrogen atom and hydrogen-like ions is calculated using Born-Infeld nonlinear electrodynamics. The formulas obtained show that the position of the s levels in hydrogen-like ions and muonic atoms should be most strongly affected by the nonlinearity of electrodynamics of vacuum.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. L. Burke, R. C. Field, G. Horton-Smith, et al., Phys. Rev. Lett. 79, 1626 (1997).

    Article  ADS  Google Scholar 

  2. W. Heisenberg and H. Euler, Z. Phys. 26, 714 (1936).

    Google Scholar 

  3. M. Born and L. Infeld, Proc. R. Soc. London, Ser. A 144, 425 (1934).

    MATH  ADS  Google Scholar 

  4. E. B. Aleksandrov, A. A. Ansel’m, and A. N. Moskalev, Zh. Éksp. Teor. Fiz. 89, 1181 (1985) [Sov. Phys. JETP 62, 680 (1985)].

    ADS  Google Scholar 

  5. N. N. Rozanov, Zh. Éksp. Teor. Fiz. 103, 1996 (1993) [JETP 76, 991 (1993)].

    ADS  Google Scholar 

  6. V. I. Denisov, Phys. Rev. D 61, 036004 (2000).

    Google Scholar 

  7. V. I. Denisov, N. V. Kravtsov, and I. V. Krivchenkov, Phys. Rev. D 69, 066008 (2004).

    Google Scholar 

  8. S. L. Adler, Ann. Phys. (New York) 67, 599 (1971).

    Article  ADS  Google Scholar 

  9. P. A. Vshivtseva, V. I. Denisov, and I. P. Denisova, Dokl. Akad. Nauk 387, 178 (2002) [Dokl. Phys. 47, 798 (2002)].

    MATH  Google Scholar 

  10. V. I. Denisov, I. P. Denisova, and I. V. Krivchenkov, Zh. Éksp. Teor. Fiz. 122, 227 (2002) [JETP 95, 194 (2002)].

    Google Scholar 

  11. V. I. Denisov and S. I. Svertilov, Phys. Rev. D 71(6), 063002 (2005).

    Google Scholar 

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

    MATH  Google Scholar 

  13. M. Niering, R. Holwarth, J. Reichert, et al., Phys. Rev. Lett. 84, 5496 (2000).

    Article  ADS  Google Scholar 

  14. N. N. Kolachevskiĭ, Kvantovaya Élektron. 35, 207 (2005).

    Article  Google Scholar 

  15. Physical Encyclopedia, Ed. by A. M. Prokhorov (Sovetskaya Éntsiklopedia, Moscow, 1990), p. 622.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.I. Denisov, N.V. Kravtsov, I.V. Krivchenkov, 2006, published in Optika i Spektroskopiya, 2006, Vol. 100, No. 5, pp. 701–705.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Denisov, V.I., Kravtsov, N.V. & Krivchenkov, I.V. A nonlinear electrodynamical shift of spectral lines in the hydrogen atom and hydrogen-like ions. Opt. Spectrosc. 100, 641–644 (2006). https://doi.org/10.1134/S0030400X06050018

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X06050018

PACS numbers

Navigation