Static and Dynamic Correlations in Many-Electron Systems

In honour of Professor P.O. Löwdin’s 60th birthday
  • Stig Lundqvist


My first contact with correlation problems dates back to my first year as a graduate student in theoretical physics at Uppsala. My interest in theoretical physics was very much stimulated by Per-Olov Löwdin’s inspiring lectures and I started as a graduate student in 1949 just one year after he had published his remarkable thesis on the properties of ionic crystals. This breakthrough in the large-scale application of quantum mechanical methods to treat complicated solid state problems created for natural reasons a great excitement and had a strong influence on the research activities at the department over a long period. Professor Ivar Waller had already in the early forties been doing some pioneering work in the lattice dynamics of KC1 together with M. Iona and took a major interest in looking into the possibilities to study the lattice dynamics of ionic crystals starting from the quantum mechanical theory of the cohesive properties. Related to this idea was some very early work that he and Per-Olof Fröman, now professor in Uppsala, did to develop the theory of neutron diffraction as a method to studying phonons in solids. Alf Sjölander continued this line of research and later made fundamental contributions to the field. In this connection, however, I would like to recall some very early actual calculations he did on the scattering by an ionic solid, which I believe was done quite some time before any experimental data existed.


Ionic Crystal Core Hole Correlation Problem Quantum Mechanical Theory Virtual Transition 
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  1. 1.
    Wigner, E. and Seitz, F., Phys. Rev. 43 (1933) 804Google Scholar
  2. Wigner, E. and Seitz, F., Phys. Rev. Phys.Rev. 46 (1934) 509Google Scholar
  3. Wigner, E. and Seitz, F., Phys. Rev. Wigner, E., Phys. Rev. 46 (1934) 1002.Google Scholar
  4. 2.
    Löwdin, P.O., Phil. Mag. Suppl. 5, No. 17 (1956) 1.Google Scholar
  5. 3.
    Hohenberg, P. and Kohn, W., Phys. Rev. 136B (1964) 864; Kohn, W. and Sham, L.J., Phys. Rev. 140A (1965) 1133.MathSciNetGoogle Scholar
  6. 4.
    Slater, J.C., Phys. Rev. 81 (1951) 385.ADSzbMATHCrossRefGoogle Scholar
  7. 5.
    Hedin, L., Lundqvist, B.I. and Lundqvist, S., Sol. State Comm. 9 (1971) 537; Hedin, L. and Lundqvist, B.I., J. Phys. C. 4 (1971) 2064.Google Scholar
  8. 6.
    Von Barth, U. and Hedin, L., J. Phys. C. 5 (1972) 1629.ADSCrossRefGoogle Scholar
  9. 7.
    Gunnarsson, 0. and Lundqvist, B.I., Phys. Rev. (in press).Google Scholar
  10. 8.
    Gunnarsson, 0., Johansson, P., Lundqvist, S. and Lundqvist, B.I., Int. J. Quant. Chem. (in press).Gunnarsson, 0. and Johansson, P., Int. J. Quant. Chem. (in press).Google Scholar
  11. 9.
    Gunnarsson, O., Lundqvist, B.I. and Wilkins, J.W. Phys. Rev. B10 (1974) 1319.ADSGoogle Scholar
  12. 10.
    Gunnarsson, 0., J. Phys. F (in press).Google Scholar
  13. 11.
    Gunnarsson, 0., Jonson M. and Lundqvist, B.I., (to be published).Google Scholar
  14. 12.
    Wendin, G., J. Phys. B5 (1972)Google Scholar
  15. Wendin, G., J. Phys. B6 (1973) 42Google Scholar
  16. Wendin, G., Phys. Lett. 46A (1973) 101Google Scholar
  17. Wendin, G., Phys. Lett. 46A (1973) 119Google Scholar
  18. Wendin, G., in Vacuum Ultraviolet Radiation Physics, Pergamon and Vieweg (1974).Google Scholar
  19. 13.
    Amusia, M. Ya., in Vacuum Ultraviolet Radiation Physics, Pergamon and Vieweg (1974).Google Scholar
  20. 14.
    Lundqvist, B.I., Phys. Kondens,Materic, 9 (1969) 236.ADSGoogle Scholar
  21. 15.
    Langreth, D.C., Phys. Rev. B, 1 (1970) 471.ADSCrossRefGoogle Scholar
  22. 16.
    Doniach, S., in Computational Methods in Band Theory, Plenum Press, New York (1971).Google Scholar
  23. 17.
    Hedin, L. and Johansson, A. J. Phys. B 2 (1969) 1336.Google Scholar
  24. 18.
    Siegbahn, K., ESCA, Atomic Molecular and Solid State Structure Studied by Means of Electron Spectroscopy, Almqvist and Wiksell, Uppsala (1967).Google Scholar
  25. 19.
    Gelius, U., Journal of Electron Spectroscopy, 5 (1974) 985.CrossRefGoogle Scholar
  26. 20.
    Shirley, D.A., Martin, R.L., McFeely, F.R., Kowalczyk, S.P. and Ley, Feraday discussions of the Chemical Society, Vancouver, B.C. (1974).Google Scholar
  27. 21.
    Lundqvist, S. and Wendin, G., Journal of Electron Spectroscopy, 5 (1974) 513.CrossRefGoogle Scholar
  28. 22.
    McGuire, E.J., Phys. Rev. A, 9 (1974) 1840.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • Stig Lundqvist
    • 1
  1. 1.Inst. för teoretisk fysik och mekanikChalmers Tekniska Högskola, FackGöteborg 5Sweden

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