Skip to main content
Log in

Direct calculation of ionization potentials of closed-shell atoms and molecules

  • Commentationes
  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

Vertical ionization potentials, electron affinities and information about quasi-particles can be obtained by using the technique of the single-particle propagator. The expansion of the self-energy part up to third order perturbation theory can be evaluated numerically, but does not lead, in most cases, to satisfying results. A theoretical and numerical analysis of the diagrammatic expansion of the self-energy part requires the introduction of a renormalized interaction and renormalized hole and particle lines.

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. Brueckner,K.A., Gammel,J.L.: Phys. Rev. 109, 1023 (1958).

    Google Scholar 

  2. Brueckner,K.A., Masterson,Jr.,K.S.: Phys. Rev. 128, 2267 (1962)

    Google Scholar 

  3. Gell-Mann,M., Brueckner,K.A.: Phys. Rev. 106, 364 (1957)

    Google Scholar 

  4. e.g., Schultz,T.D.: Quantum field theory and the many-body problem. New York: Gordon and Breach 1964.

    Google Scholar 

  5. Schrieffer,J.R.: Theory of superconductivity. New York: Benjamin 1964.

    Google Scholar 

  6. Schrieffer,J.R.: In: Phonons and phonon interactions, Ed. Bak Thor. New York: Benjamin 1964

    Google Scholar 

  7. Kelly,H.P.: Phys. Rev. 136, B896 (1964)

    Google Scholar 

  8. Doll,J.D., Reinhardt,W.P.: J. Chem. Phys. 57, 1169 (1972).

    Google Scholar 

  9. Reinhardt,W.P., Doll,J.D.: J. Chem. Phys. 50, 2767 (1969)

    Google Scholar 

  10. Cahse,R.L., Kelly,H.P.: Phys. Rev. A6, 2150 (1972)

    Google Scholar 

  11. Chang,E.S., Pu,R.T., Das,T.P.: Phys. Rev. 174, 1 (1968)

    Google Scholar 

  12. Reinhardt,W.P., Smith,J.B.: J. Chem. Phys. 58, 2148 (1973)

    Google Scholar 

  13. Miller,J.H., Kelly,H.P.: Phys. Rev. A4, 480 (1971)

    Google Scholar 

  14. Cederbaum,L.S., Hohlneicher,G., Peyerimhoff,S.: Chem. Phys. Lett. 11, 421 (1971)

    Google Scholar 

  15. Cederbaum,L.S., Hohlneicher,G., v. Niessen, W.: Chem. Phys. Lett. 18, 503 (1973)

    Google Scholar 

  16. Cederbaum,L.S.: Thesis,T.U. München 1972

  17. Koopmans,T.: Physica 1, 104 (1933)

    Google Scholar 

  18. Ecker,F., Hohlneicher,G.: Theoret. chim. Acta (Berl.) 25, 289 (1972)

    Google Scholar 

  19. Cederbaum,L.S., Hohlneicher,G., v.Niessen,W.: Mol. Phys., in press

  20. Meyer,W.: Inter. J. Quantum Chem. S5, 341 (1971)

    Google Scholar 

  21. Abrikosov,A., Gor'kov,L., Dzyaloshinskii,J.: Quantum field theoretical methods in statistical physics. Oxford: Pergamon Press 1965

    Google Scholar 

  22. Thouless,D.J.: The quantum mechanics of many-body systems. New York: Academic Press 1961

    Google Scholar 

  23. Mattuck,R.D.: Feynman diagrams in the many-body problem. London: McGraw-Hill 1967

    Google Scholar 

  24. Migdal,A.B.: Theory of finite Fermi systems and applications to atomic nuclei. London: John Wiley & Sons 1967

    Google Scholar 

  25. Kelly,H.P.: Phys. Rev. 131, 684 (1963)

    Google Scholar 

  26. Kelly,H.P.: Phys. Rev. 144, 39 (1966)

    Google Scholar 

  27. Kellerer,B., Cederbaum,L.S., Hohlneicher,G.: to be published

  28. Cederbaum,L.S.: Mol. Phys., in press

  29. Kellerer,B.: Thesis,T. U. München 1973

  30. Pines,D.: The many-body problem. New York: Benjamin 1961

    Google Scholar 

  31. Brueckner,K.A.: Advan. Chem. Phy. 14, 215 (1969)

    Google Scholar 

  32. Turner,D., Baker,C., Baker,A.B., Brandle,C.: Molecular photoelectron spectroscopy. London: Wiley-Interscience 1970

    Google Scholar 

  33. Albat,R., Gruen,N.: J. of Phys. B6, 601 (1973)

    Google Scholar 

  34. Albat,R.: Z. Naturforsch. 27a, 545 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cederbaum, L.S. Direct calculation of ionization potentials of closed-shell atoms and molecules. Theoret. Chim. Acta 31, 239–260 (1973). https://doi.org/10.1007/BF00526514

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00526514

Key words

Navigation