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Density Functional Theory of Time-Dependent Systems

  • Chapter
Density Functional Theory

Part of the book series: NATO ASI Series ((NSSB,volume 337))

Abstract

The response of an interacting many-particle system to a time-dependent external field can usually be treated within linear response theory. Due to rapid experimental progress in the field of laser physics, however, ultra-short laser pulses of very high intensity have become available in recent years. The electric field produced in such pulses can reach the strength of the electric field caused by atomic nuclei. If an atomic system is placed in the focus of such a laser pulse one observes a wealth of new phenomena [1] which cannot be explained by traditional perturbation theory. The non-perturbative quantum mechanical description of interacting particles moving in a very strong time-dependent external field therefore has become a prominent problem of theoretical physics. In principle, it requires a full solution of the time-dependent Schrödinger equation for the interacting many-body system, which is an exceedingly difficult task. In view of the success of density functional methods in the treatment of stationary many-body systems and in view of their numerical simplicity, a time-dependent version of density functional theory appears highly desirable, both within and beyond the regime of linear response.

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References

  1. Atoms in Intense Laser Fields, edited by M. Gavrila (Academic Press, Boston, 1992).

    Google Scholar 

  2. V. Peuckert, J. Phys. C 11, 4945 (1978).

    Article  ADS  Google Scholar 

  3. A. Zangwill and P. Soven, Phys. Rev. A 21, 1561 (1980).

    Article  ADS  Google Scholar 

  4. B.M. Deb and S.K. Ghosh, J. Chem. Phys. 77, 342 (1982).

    Article  ADS  Google Scholar 

  5. S.K. Ghosh and B.M. Deb, Chem. Phys. 71, 295 (1982).

    Article  ADS  Google Scholar 

  6. S.K. Ghosh and B.M. Deb, Theor. Chim. Acta 62, 209 (1983).

    Article  Google Scholar 

  7. S.K. Ghosh and B.M. Deb, J. Mol. Struct. 103, 163 (1983).

    Article  Google Scholar 

  8. L.J. Bartolotti, Phys. Rev. A 24, 1661 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  9. L.J. Bartolotti, Phys. Rev. A 26, 2243 (1982).

    Article  ADS  Google Scholar 

  10. L.J. Bartolotti, J. Chem. Phys. 80, 5687 (1984).

    Article  ADS  Google Scholar 

  11. L.J. Bartolotti, Phys. Rev. A 36, 4492 (1987).

    Article  ADS  Google Scholar 

  12. E. Runge and E.K.U. Gross, Phys. Rev. Lett. 52, 997 (1984).

    Article  ADS  Google Scholar 

  13. C.A. Ullrich, U.J. Gossmann, and E.K.U. Gross, Phys. Rev. Lett., in press.

    Google Scholar 

  14. R.T. Sharp and G.K. Horton, Phys. Rev. 90, 317 (1953).

    Article  MathSciNet  ADS  Google Scholar 

  15. J.D. Talman and W.F. Shadwick, Phys. Rev. A 14, 36 (1976).

    Article  ADS  Google Scholar 

  16. M.R. Norman and D.D. Koelling, Phys. Rev. B 30, 5530 (1984).

    Article  ADS  Google Scholar 

  17. J.D. Talman, Comput. Phys. Commun. 54, 85 (1989).

    Article  ADS  Google Scholar 

  18. Y. Wang, J.P. Perdew, J.A. Chevary, L.D. Macdonald, and S.H. Vosko, Phys. Rev. A 41, 78 (1990).

    Article  ADS  Google Scholar 

  19. E. Engel, J.A. Chevary, L.D. Macdonald, and S.H. Vosko, Z. Phys. D 23, 7(1992).

    Article  ADS  Google Scholar 

  20. E. Engel and S.H. Vosko, Phys. Rev. A 47, 2800 (1993).

    Article  ADS  Google Scholar 

  21. J.B. Krieger, Y. Li, and G.J. Iafrate, Phys. Lett. A 146, 256 (1990).

    Article  ADS  Google Scholar 

  22. J.B. Krieger, Y. Li, and G.J. Iafrate, Phys. Lett. A 148, 470 (1990).

    Article  ADS  Google Scholar 

  23. Y. Li, J.B. Krieger, M.R. Norman, and G.J. Iafrate, Phys. Rev. B 44, 10437 (1991).

    Article  ADS  Google Scholar 

  24. J.B. Krieger, Y. Li, and G.J. Iafrate, Int. J. Quantum Chem. 41, 489 (1992).

    Article  Google Scholar 

  25. J.B. Krieger, Y. Li, and G.J. Iafrate, Phys. Rev. A 45, 101 (1992).

    Article  ADS  Google Scholar 

  26. J.B. Krieger, Y. Li, and G.J. Iafrate, Phys. Rev. A 46, 5453 (1992).

    Article  ADS  Google Scholar 

  27. J.B. Krieger, Y. Li, and G.J. Iafrate, Chem. Phys. Lett. 191, 38 (1992).

    Article  ADS  Google Scholar 

  28. Y. Li, J.B. Krieger, and G.J. Iafrate, Phys. Rev. A 47, 165 (1993).

    Article  ADS  Google Scholar 

  29. J.B. Krieger, Y. Li, and G.J. Iafrate, this volume.

    Google Scholar 

  30. E.K.U. Gross and W. Kohn, Adv. Quant. Chem. 21, 255 (1990).

    Article  Google Scholar 

  31. L.F. Errea, L. Méndez, A. Riera, M. Yáñez, J. Hanssen, C. Harel, and A. Salin, J. Physique 46, 719 (1985).

    Google Scholar 

  32. L L. Cooper, A.S. Dickinson, S.K. Sur, and C.T. Ta, J. Phys. B 20, 2005 (1987).

    Article  ADS  Google Scholar 

  33. A. Henne, H.-J. Lüdde, A. Toepfer, and R.M. Dreizler, Phys. Lett. A 124, 508 (1987).

    Article  ADS  Google Scholar 

  34. W. Fritsch and C.D. Lin, Phys. Lett. A 123, 128 (1987).

    Article  ADS  Google Scholar 

  35. J.F. Reading and A.L. Ford, Phys. Rev. Lett. 58, 543 (1987).

    Article  ADS  Google Scholar 

  36. J.F. Reading and A.L. Ford, J. Phys. B 20, 3747 (1987).

    Article  ADS  Google Scholar 

  37. J.E. Harriman, Phys. Rev. A 24, 680 (1981).

    Article  ADS  Google Scholar 

  38. G. Zumbach and K. Maschke, Phys. Rev. A. 28, 544 (1983). Erratum: Phys. Rev. A 29, 1585 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  39. E.H. Lieb, in Density Functional Methods in Physics, edited by R.M. Dreizler and J. da Providencia, p. 31 (Plenum Press, New York, 1985).

    Chapter  Google Scholar 

  40. M. Levy, Phys. Rev. A 26, 1200 (1982).

    Article  ADS  Google Scholar 

  41. M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979).

    Article  ADS  Google Scholar 

  42. H. Kohl and R.M. Dreizler, Phys. Rev. Lett. 56, 1993 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  43. S.K. Ghosh and A.K. Dhara, Phys. Rev. A 38, 1149 (1988).

    Article  ADS  Google Scholar 

  44. K.L. Liu and S.H. Vosko, Can. J. Phys. 67, 1015 (1989).

    Article  ADS  Google Scholar 

  45. T.-C. Li and P.-Q. Tong, Phys. Rev. A 34, 529 (1986).

    Article  ADS  Google Scholar 

  46. T.-C. Li and P.-Q. Tong, Phys. Rev. A 31, 1950 (1985).

    Article  ADS  Google Scholar 

  47. T.-C. Li and Y. Li, Phys. Rev. A 31, 3970 (1985).

    Article  ADS  Google Scholar 

  48. T.K. Ng, Phys. Rev. Lett. 62, 2417 (1989).

    Article  ADS  Google Scholar 

  49. O.-J. Wacker, R. Kümmel, and E.K.U. Gross, Phys. Rev. Lett. 73, 2915 (1994).

    Article  ADS  Google Scholar 

  50. D. Mearns and W. Kohn, Phys. Rev. A 35, 4796 (1987).

    Article  ADS  Google Scholar 

  51. E.K.U. Gross, D. Mearns, and L.N. Oliveira, Phys. Rev. Lett. 61, 1518 (1988).

    Article  ADS  Google Scholar 

  52. J. Wloka, Funktionalanalysis und Anwendungen (de Gruyter, Berlin, 1971).

    MATH  Google Scholar 

  53. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  54. W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  55. E.K.U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985). Erratum: ibid. 57, 923 (1986).

    Article  ADS  Google Scholar 

  56. S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982).

    Article  ADS  Google Scholar 

  57. N. Iwamoto and E.K.U. Gross, Phys. Rev. B 35, 3003 (1987).

    Article  ADS  Google Scholar 

  58. D.M. Ceperley, Phys. Rev. B 18, 3126 (1978).

    Article  ADS  Google Scholar 

  59. S.H. Vosko, L. Wilk, and M. Nusair, Can. J. Phys. 58, 1200 (1980).

    Article  ADS  Google Scholar 

  60. G. Niklasson, Phys. Rev. B 10, 3052 (1974).

    Article  ADS  Google Scholar 

  61. A.A. Kugler, J. Stat. Phys. 12, 35 (1975).

    Article  ADS  Google Scholar 

  62. A. Holas and K.S. Singwi, Phys. Rev. B 40, 158 (1989).

    Article  ADS  Google Scholar 

  63. A.J. Glick and W.F. Long, Phys. Rev. B 4, 3455 (1971).

    Article  ADS  Google Scholar 

  64. N. Iwamoto, Phys. Rev. A 30, 2597 (1984).

    Article  ADS  Google Scholar 

  65. N. Iwamoto, Phys. Rev. A 30, 3289 (1984).

    Article  ADS  Google Scholar 

  66. P.F. Byrd and M.D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists (Springer-Verlag, Berlin, 1954).

    MATH  Google Scholar 

  67. B. Dabrowski, Phys. Rev. B 34, 4989 (1986).

    Article  ADS  Google Scholar 

  68. K.L. Liu, Can. J. Phys. 69, 573 (1991).

    Article  ADS  Google Scholar 

  69. A. Zangwill and P. Soven, Phys. Rev. Lett. 45, 204 (1980).

    Article  ADS  Google Scholar 

  70. A. Zangwill and P. Soven, Phys. Rev. B 24, 4121 (1981).

    Article  ADS  Google Scholar 

  71. Z.H. Levine and P. Soven, Phys. Rev. Lett. 50, 2074 (1983).

    Article  ADS  Google Scholar 

  72. Z.H. Levine and P. Soven, Phys. Rev. A 29, 625 (1984).

    Article  ADS  Google Scholar 

  73. A. Liebsch, Phys. Rev. B 36, 7378 (1987).

    Article  ADS  Google Scholar 

  74. J.F. Dobson and G.H. Harris, J. Phys. C 20, 6127 (1987).

    Article  ADS  Google Scholar 

  75. J.F. Dobson and G.H. Harris, J. Phys. C 21, L729 (1988).

    Article  ADS  Google Scholar 

  76. P. Gies and R.R. Gerhardts, Phys. Rev. B 36, 4422 (1987).

    Article  ADS  Google Scholar 

  77. P. Gies and R.R. Gerhardts, J. Vac. Sci. Technol. A 5, 936 (1987).

    Article  ADS  Google Scholar 

  78. P. Gies and R.R. Gerhardts, Phys. Rev. B 37, 10020 (1988).

    Article  ADS  Google Scholar 

  79. K. Kempa and W.L. Schaich, Phys. Rev. B 37, 6711 (1988).

    Article  ADS  Google Scholar 

  80. T. Ando, Z. Phys. B 26, 263 (1977).

    Article  ADS  Google Scholar 

  81. Z.H. Levine and D.C. Allan, Phys. Rev. Lett. 63, 1719 (1989).

    Article  ADS  Google Scholar 

  82. W. Ekardt, Phys. Rev. Lett. 52, 1925 (1984).

    Article  ADS  Google Scholar 

  83. W. Ekardt, Phys. Rev. B 31, 6360 (1985).

    Article  ADS  Google Scholar 

  84. A. Rubio, L.C. Balbás, and J.A. Alonso, Phys. Rev. B 46, 4891 (1992).

    Article  ADS  Google Scholar 

  85. J.A. Alonso, A. Rubio, and L.C. Balbás, Phil. Mag. B 69, 1037 (1994).

    Article  Google Scholar 

  86. R. Haensel, G. Keitel, P. Schreiber, and C. Kunz, Phys. Rev. 188, 1375 (1969).

    Article  ADS  Google Scholar 

  87. G.D. Mahan and K.R. Subbaswamy, Local Density Theory of Polarizability (Plenum Press, New York, 1990).

    Google Scholar 

  88. M. Petersilka and E.K.U. Gross, to be published.

    Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany

    E. K. U. Gross, C. A. Ullrich & U. J. Gossmann

Authors
  1. E. K. U. Gross
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  2. C. A. Ullrich
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  3. U. J. Gossmann
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Physics, Julius Maximilian University, Würzburg, Germany

    Eberhard K. U. Gross

  2. Institute for Theoretical Physics, Johann Wolfgang Goethe University, Frankfurt am Main, Germany

    Reiner M. Dreizler

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© 1995 Springer Science+Business Media New York

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Gross, E.K.U., Ullrich, C.A., Gossmann, U.J. (1995). Density Functional Theory of Time-Dependent Systems. In: Gross, E.K.U., Dreizler, R.M. (eds) Density Functional Theory. NATO ASI Series, vol 337. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9975-0_7

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  • DOI: https://doi.org/10.1007/978-1-4757-9975-0_7

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