Skip to main content
SpringerLink
Log in

On accurate computations of slowly convergent atomic properties in few-electron ions and electron-electron correlations

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We discuss an approach to accurate numerical computations of slowly convergent properties in two-electron atoms/ions which include the negatively charged Ps− (e − e + e −) and H− ions, He atom and positively charged, helium-like ions from Li+ to Ni26+. All these ions are considered in their ground 11S-state(s). The slowly convergent properties selected in this study include the electron-nulceus (r 2k eN) and electron-electron (r 2k ee) expectation values for k = 2, 3, 4 and 5.

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. N.F. Mott, H.S.W. Massey, Theory of Atomic Collisions, 3rd edn. (Oxford Clarendon Press, Oxford, 1965)

  2. V.A. Kvlividze, S.S. Krasil’nikov, Physics of Atomic Collisions (Moscow State University Publ., Moscow, 1985) [in Russian]

  3. H.A. Bethe, in Intermediate Quantum Mechanics (W.A. Benjamin Inc., New York, 1964), Chap. 15

  4. L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, 3rd edn. (Pergamon Press, New York, 1976)

  5. A.I. Akhiezer, V.B. Beresteskii, in Quantum Electrodynamics, 4th edn. (Science, Moscow, 1981), Chaps. 4 and 5

  6. W. Greiner, J. Reinhardt, Quantum Electrodynamics, 4th edn. (Springer Verlag, Berlin, 2009)

  7. A.M. Frolov, Phys. Rev. E 64, 036704 (2001)

    Article  ADS  Google Scholar 

  8. A.M. Frolov, Phys. Rev. E 74, 027702 (2006)

    Article  ADS  Google Scholar 

  9. S.T. Epstein, The Variation Method in Quantum Chemistry (Academic Press, New York, 1974)

  10. A.M. Frolov, Sov. Phys. J. Exp. Theor. Phys. 92, 1100 (1987) [Zh. Eksp. Teor. Fiz. 92, 1959 (1987)]

    Google Scholar 

  11. A.M. Frolov, Chem. Phys. Lett. 635, 312 (2015)

    Article  Google Scholar 

  12. A.M. Frolov, J. Phys. A 40, 6175 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  13. A.M. Frolov, Eur. Phys. J. D 69, 132 (2015)

    Article  ADS  Google Scholar 

  14. A.M. Frolov, Chem. Phys. Lett. 638, 108 (2015)

    Article  ADS  Google Scholar 

  15. A.K. Bhatia, R.J. Drachman, Phys. Rev. A 28, 2523 (1983)

    Article  ADS  Google Scholar 

  16. Y.K. Ho, Phys. Lett. A 144, 237 (1990)

    Article  ADS  Google Scholar 

  17. H.A. Bethe, E.E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Dover Publ. Inc., Mineola, NY, 2008)

  18. D.J. Hudson, in Lectures on Elementary Statistics and Probability (MIR, Moscow, 1967), Chap. VIII [in Russian]

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Western Ontario, London, N6H 5B7, Ontario, Canada

    Alexei M. Frolov

  2. Department of Chemistry, Memorial University of Newfoundland, St. John’s, Newfoundland and Labrador, A1C 5S7, Canada

    David M. Wardlaw

Authors
  1. Alexei M. Frolov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. David M. Wardlaw
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alexei M. Frolov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Frolov, A., Wardlaw, D. On accurate computations of slowly convergent atomic properties in few-electron ions and electron-electron correlations. Eur. Phys. J. B 89, 190 (2016). https://doi.org/10.1140/epjb/e2016-70194-3

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2016-70194-3

Keywords

Search

Navigation