Skip to main content
SpringerLink
Log in

Compensation of logarithmic corrections in calculating the fine structure of levels in hydrogen-like atoms

  • Elementary Particles and Fields
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

Special features of the quasipotential approach to calculating logarithmic (in the fine-structure constant) contributions to the fine splitting of energy levels in hydrogen-like atoms are analyzed. The boundaries of the region of applicability of the Fell technique are indicated, and the order of corrections beyond this region is estimated.

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

Access this article

Log in via an institution

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. M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 63 (2001).

    Article  ADS  MATH  Google Scholar 

  2. N. A. Boikova, S. V. Kleshchevskaya, Yu. N. Tyukhtyaev, and R. N. Faustov, Teor. Mat. Fiz. 149, 325 (2006) [Theor.Math. Phys. 149, 1578 (2006)].

    Google Scholar 

  3. V. V. Dvoeglazov, Yu. N. Tyukhtyaev, and R. N. Faustov, Fiz. Élem.Chastits At. Yadra 25, 144 (1994) [Phys. Part. Nucl. 25, 58 (1994)].

    Google Scholar 

  4. N. A. Boikova, S. V. Kleshchevskaya, Yu. N. Tyukhtyaev, and R. N. Faustov, Yad. Fiz. 72, 300 (2009) [Phys. At. Nucl. 72, 272 (2009)].

    Google Scholar 

  5. R. N. Fell, Preprint BUW-01742 (Wuppertal, 1992).

  6. I. B. Khriplovich, A. I. Milstein, and A. S. Yelkhovsky, Phys. Lett. B 282, 237 (1992).

    Article  ADS  Google Scholar 

  7. R. N. Fell, I. B. Khriplovich, A. I. Milstein, and A. S. Yelkhovsky, Phys. Lett. A 181, 172 (1993).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saratov State University, Astrakhanskaya ul. 83, Saratov, 410026, Russia

    N. A. Boikova & Yu. N. Tyukhtyaev

  2. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    R. N. Faustov

Authors
  1. N. A. Boikova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. N. Tyukhtyaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. N. Faustov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. A. Boikova.

Additional information

Original Russian Text © N.A. Boikova, Yu.N. Tyukhtyaev, R.N. Faustov, 2011, published in Yadernaya Fizika, 2011, Vol. 74, No. 1, pp. 68–71.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boikova, N.A., Tyukhtyaev, Y.N. & Faustov, R.N. Compensation of logarithmic corrections in calculating the fine structure of levels in hydrogen-like atoms. Phys. Atom. Nuclei 74, 67–71 (2011). https://doi.org/10.1134/S1063778810121014

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778810121014

Keywords

Search

Navigation