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Time-Dependent Density-Functional Theory

  • John F. Dobson

Abstract

The static Kohn-Sham theory of many-particle systems is basically unsuitable for the description of time-dependent electronic phenomena. (The few exceptions rely on the approximate description of electronic excitation energies, a procedure fraught with difficulties as described in a previous chapter.) In this chapter we introduce the time-dependent density functional theory (TDDFT), which fills this gap.

Keywords

Density Functional Theory External Potential Kohn Sham Independent Electron Lindhard Function 
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References

  1. 1.
    A. Zangwill and P. Soven, Phys. Rev. A 21, 1561 (1980).ADSCrossRefGoogle Scholar
  2. 2.
    J. F. Dobson, Australian J. Phys. 46, 391 (1993).ADSCrossRefGoogle Scholar
  3. 3.
    P. R. Pinsukanjana et al. Phys. Rev. B (Rap. Comm.) 46, 7284 (1992).ADSCrossRefGoogle Scholar
  4. 4.
    K.-D. Tsuei et al. Surf. Sci. 247, 302 (1991).ADSCrossRefGoogle Scholar
  5. 5.
    J. F. Dobson and G. H. Harris, J. Phys. C: Solid State Phys. 19, 3971 (1986).ADSCrossRefGoogle Scholar
  6. 6.
    E. K. U. Gross, J. F. Dobson, and M. Petersilka, in Density Functional Theory II, Vol. 181 of Topics in Current Chemistry, edited by R. F. Nalewajski (Springer, Berlin, 1996), Chap. 2, pp. 81-172. (Refs. [29] and [31] update this review).Google Scholar
  7. 7.
    C. A. Ullrich, U. J. Gossman, and E. K. U. Gross, Ber. Bunsenges. Phys. Chem. 99, 488 (1995).Google Scholar
  8. 8.
    C. A. Ullrich, S. Ehrhard, and E. K. U. Gross, in Super Intense Laser Atom Physics IV, edited by H. G. Muller (Kluwer, Dordrecht, 1996).Google Scholar
  9. 9.
    E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984).ADSCrossRefGoogle Scholar
  10. 10.
    L. H. Thomas, Proc. Cambridge Phil. Soc. 23, 542 (1927).ADSzbMATHCrossRefGoogle Scholar
  11. 11.
    E. Fermi, Z. Phys. 48, 73 (1928).ADSzbMATHCrossRefGoogle Scholar
  12. 12.
    F. Bloch, Z. Phys. 81, 363 (1933).ADSzbMATHCrossRefGoogle Scholar
  13. 13.
    G. Barton, Rep. Prog. Phys. 42, 964 (1979).ADSCrossRefGoogle Scholar
  14. 14.
    A. G. Eguiluz, Phys. Rev. B 19, 1689 (1979).ADSCrossRefGoogle Scholar
  15. 15.
    W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).MathSciNetADSCrossRefGoogle Scholar
  16. 16.
    T. Ando, Z. Phys. B 26, 263 (1977).ADSCrossRefGoogle Scholar
  17. 17.
    G. D. Mahan and K. R. Subbaswamy, Local Density Functional Theory of Polarizability (Plenum, New York, 1990).CrossRefGoogle Scholar
  18. 18.
    E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985).ADSCrossRefGoogle Scholar
  19. 19.
    N. Iwamoto and E. K. U. Gross, Phys. Rev. B 35, 3003 (1987).ADSCrossRefGoogle Scholar
  20. 20.
    J. F. Dobson, G. H. Harris, and A. J. O’Connor, J. Phys. Condens. Matt. 2, 6461 (1988).ADSCrossRefGoogle Scholar
  21. 21.
    J. F. Dobson and G. Vignale (unpublished).Google Scholar
  22. 22.
    J. F. Dobson, Phys. Rev. Lett. 73, 2244 (1994).ADSCrossRefGoogle Scholar
  23. 23.
    L. Brey, N. F. Johnson, and B. I. Halperin, Phys. Rev. B 40, 10647 (1989).ADSCrossRefGoogle Scholar
  24. 24.
    S. K. Yip, Phys. Rev. B 43, 1707 (1991).ADSCrossRefGoogle Scholar
  25. 25.
    W. Kohn, Phys. Rev. 123, 1242 (1961).ADSzbMATHCrossRefGoogle Scholar
  26. 26.
    G. Vignale, Phys. Rev. Lett. 74, 3233 (1995).ADSCrossRefGoogle Scholar
  27. 27.
    G. Vignale, Physics Letts. A 209, 206 (1995).ADSCrossRefGoogle Scholar
  28. 28.
    J. F. Dobson, NATO ASI Series B, Physics 337, 393 (1995).Google Scholar
  29. 29.
    G. Vignale and W. Kohn, Phys. Rev. Lett. 77, 2037 (1996).ADSCrossRefGoogle Scholar
  30. 30.
    E. K. U. Gross, private communication (1997).Google Scholar
  31. 31.
    J. F. Dobson, M. Bunner, and E. K. U. Gross, Phys. Rev. Lett. 79, 1905 (1997).ADSCrossRefGoogle Scholar
  32. 32.
    G. Vignale and W. Kohn, private communication (1995).Google Scholar
  33. 33.
    M. Petersilka, U. J. Gossmann, and E. K. U. Gross, Phys. Rev. Lett. 76, 1212 (1996).ADSCrossRefGoogle Scholar
  34. 34.
    D. C. Langreth and J. P. Perdew, Sol. State Commun. 17, 1425 (1975).ADSCrossRefGoogle Scholar
  35. 35.
    O. Gunnarsson and B. I. Lundqvist, Phys. Rev. B 13, 4274 (1976).ADSCrossRefGoogle Scholar
  36. 36.
    L. D. Landau and E. Lifshitz, Statistical Physics (Addison-Wesley, Reading, Mass., 1969).Google Scholar
  37. 37.
    H. B. Callen and T. A. Welton, Phys. Rev. 83, 34 (1951).MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • John F. Dobson
    • 1
  1. 1.School of ScienceGriffith UniversityNathanAustralia

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