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Correlated basis functions for the many-electron problem

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Zeitschrift für Physik B Condensed Matter

Abstract

The method of correlated basis functions is applied to the electron system in a metal. To overcome the twofold difficulty of large particle number and long-range Coulomb interaction in metals, a new optimal cluster decomposition for arbitrary correlated wave functions is derived. With this method, not only ground-state properties, but also thermal averages and response functions can be calculated from a given set of correlated basis functions. The appropriate synthesis of correlated wave functions including physically expected properties of subsystems as for instance partially filled inner shells in transition metals is discussed in detail.

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References

  1. Hylleraas, E.A.: Z. Physik54, 347 (1929);60, 624 (1930);65, 209 (1930)

    Google Scholar 

  2. Boys, S.F., Handy, N.C.: Proc. Roy. Soc. A310, 63 (1969)

    Google Scholar 

  3. Conroy, H., Malli, G.: J. Chem. Phys.50, 5049 (1969)

    Google Scholar 

  4. Gaskell, T.: Proc. Phys. Soc.80, 1091 (1962)

    Google Scholar 

  5. Keiser, G., Wu, F.Y.: Phys. Rev. A6, 2369 (1972)

    Google Scholar 

  6. Clark, J.W., Westhaus, P.: Phys. Rev.141, 833 (1966)

    Google Scholar 

  7. Shakin, C.M.: Phys. Rev. C4, 684 (1971)

    Google Scholar 

  8. Feenberg, E.: Theory of Quantum Fluids. New York: Academic Press 1969

    Google Scholar 

  9. Löwdin, P.O.: J. Chem. Phys.18, 365 (1950)

    Google Scholar 

  10. Boys, S.F.: Proc. Roy. Soc. A309, 195 (1969)

    Google Scholar 

  11. Hedin, L., Lundqvist, S.: Solid State Physics23, 1 (1969)

    Google Scholar 

  12. Coleman, A.J.: Rev. Mod. Phys.35, 668 (1963)

    Google Scholar 

  13. Garrod, C., Percus, J. K.: J. Math. Phys.5, 1756 (1964)

    Google Scholar 

  14. Kummer, H.: J. Math. Phys.8, 2063 (1967)

    Google Scholar 

  15. Larson, E.G., Day, O.W.: Int. Journ. Quantum Chem.5, 729 (1971)

    Google Scholar 

  16. Garrod, C., Rosina, M.: j. Math. Phys.10, 1855 (1969)

    Google Scholar 

  17. Münster, A.: Statistical Thermodynamics, vol. 1, chapter 9. Berlin-Heidelberg-New York: Springer 1969

    Google Scholar 

  18. Kögel, G.: to be published

  19. Ursell, H.D.: Proc. Cambr. Phil. Soc.23, 685 (1927)

    Google Scholar 

  20. Traub, J., Foley, H.M.: Phys. Rev.116, 914 (1959)

    Google Scholar 

  21. Burke, E.A.: Phys. Rev.130, 1871 (1963)

    Google Scholar 

  22. Kögel, G.: phys. stat. sol (b)44, 577 (1971)

    Google Scholar 

  23. Krüger, E.: phys. stat. sol (b)61, 193 (1974)

    Google Scholar 

  24. Gutzwiller, M.C.: Phys. Rev.134, A 923 (1964)

    Google Scholar 

  25. Simons, J., Harriman, J.E.: Phys. Rev. A2, 1034 (1970)

    Google Scholar 

  26. Coleman, A.J.: J. Math. Phys.6, 1425 (1965)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Institut für Physik am Max-Planck-Institut für Metallforschung, Stuttgart und Institut für Theoretische und Angewandte Physik der Universität Stuttgart, Büsnauer Straße 171, D-7000, Stuttgart 80 (Büsnau), Federal Republic of Germany

    G. Kögel

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  1. G. Kögel
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Kögel, G. Correlated basis functions for the many-electron problem. Z Physik B 23, 27–36 (1976). https://doi.org/10.1007/BF01322257

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  • DOI: https://doi.org/10.1007/BF01322257

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