Skip to main content
SpringerLink
Log in

Relativistic recoil and spin corrections to atomic and Coulomb wave functions

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

A new wave equation for the relativistic two-body problem is derived and shown to be equivalent to the Breit equation and also to the “quasipotential” equation. Its unique advantage is that it provides analytic wave functions for arbitrary combinations of masses, spins, magnetic and higher moments of the two particles. Various applications are indicated, including an improvement of Dirac wave functions at small distances.

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. Bethe, H.A., Salpeter, E.E.: Handbuch der Physik. Vol. XXXV/1. Berlin, Heidelberg, New York: Springer 1957

    Google Scholar 

  2. Hossein-Partovi, M., Jabbarian-Lotfabadi, A.: Phys. Rev. A17, 1575 (1978)

    Google Scholar 

  3. Bodwin, G.T., Yennie, D.R.: Phys. Rep.43, 267 (1978)

    Google Scholar 

  4. Grotch, H., Yennie, D.R.: Z. Phys.202, 425 (1967); Rev. Mod. Phys.41, 350 (1969)

    Google Scholar 

  5. Gross, F.: Phys. Rev.186, 1448 (1969)

    Google Scholar 

  6. Lepage, G.P.: Phys. Rev. A16, 863 (1977)

    Google Scholar 

  7. Logunov, A.A., Tavkhelidze, A.N.: Nuovo Cimento29, 380 (1963)

    Google Scholar 

  8. Faustov, R.N.: Nucl. Phys.75, 669 (1966)

    Google Scholar 

  9. Todorov, I.T.: Phys. Rev. D3, 2351 (1971); In: Properties of fundamental interactions. Zichichi, A. (ed.), Vol. 9C. Bologna: Editrice Compositori 1973

    Google Scholar 

  10. Rizov, V.A., Todorov, I.T., Aneva, B.L.: Nucl. Phys. B98, 447 (1975)

    Google Scholar 

  11. Rizov, V.A., Todorov, I.T.: Sov. J. Particles and Nuclei6, 269 (1975)

    Google Scholar 

  12. Pilkuhn, H., Schlaile, H.G.: Vacuum polarization contributions to the spin structure of antiprotonic atoms. Univ. Karlsruhe Preprint TKP 81-11

  13. Martinis, M., Pilkuhn, H.: J. Phys. B: At. Mol. Phys. (to be published)

  14. Brodsky, S., Primack, J.R.: Ann. Phys.52, 315 (1969)

    Google Scholar 

  15. Metzner, R., Pilkuhn, H.: Z. Phys. A — Atoms and Nuclei286, 147 (1978)

    Google Scholar 

  16. Barmo, S., Pilkuhn, H., Schlaile, H.G.: Z. Phys. A — Atoms and Nuclei301, 283 (1981)

    Google Scholar 

  17. Kaufmann, W., Pilkuhn, H.: Phys. Lett.62B, 165 (1976)

    Google Scholar 

  18. Wold, E.: Nucl. Phys. A97, 620 (1967)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Kernphysik der Universität, Karlsruhe, Federal Republic of Germany

    H. Pilkuhn

Authors
  1. H. Pilkuhn
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

I would like to thank Dr. M. Martinis for helpful comments.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pilkuhn, H. Relativistic recoil and spin corrections to atomic and Coulomb wave functions. Z Physik A 305, 241–247 (1982). https://doi.org/10.1007/BF01417441

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01417441

Keywords

Search

Navigation