Time-dependent exchange-correlation current density functionals with memory

Journal of Chemical Physics

Volumn 121, Issue 18, 2004, Pages 8731-8741

  Kurzweil, Yair ^a   Baer, Roi ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CARRIER CONCENTRATION; CONFORMAL MAPPING; CORRELATION METHODS; DIFFERENTIATION (CALCULUS); ELECTROMAGNETIC FIELDS; ELECTRON GAS; HAMILTONIANS; INTEGRAL EQUATIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DENSITY FUNCTION; QUANTUM THEORY;

DENSITY FUNCTIONAL THEORY; GALILEON INVARIANTS; KOHN-SHAM EQUATIONS; LORENTZ FORCES;

CURRENT DENSITY;

EID: 9744277539     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1802793     Document Type: Article

References (42)

1. E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984).
2. S. K. Ghosh and A. K. Dhara, Phys. Rev. A 38, 1149 (1988).
3. J. F. Dobson, M. J. Bunner, and E. K. U. Gross, Phys. Rev. Lett. 79, 1905 (1997).
4. G. Vignale and W. Kohn, Phys. Rev. Lett. 77, 2037 (1996).
5. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
6. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
7. G. Vignale and M. Rasolt, Phys. Rev. B 37, 10685 (1988).
8. R. M. Dreizier and E. K. U. Gross, Density Functional Theory: An Approach to the Quantum Many Body Problem (Springer, Berlin, 1990).
9. H. Appel, E. K. U. Gross, and K. Burke, Phys. Rev. Lett. 90, 043005 (2003).
10. P. Hessler, N. T. Maitra, and K. Burke, J. Chem. Phys. 117, 72 (2002).
11. V. Tokatly and O. Pankratov, Phys. Rev. B 67, 201103-1 (2003).
12. Y. Kurzweil and R. Baer (unpublished).
13. G. Vignale, C. A. Ullrich, and S. Conti, Phys. Rev. Lett. 79, 4878 (1997).
14. R. van Leeuwen, Phys. Rev. Lett. 80, 1280 (1998).
15. R. van Leeuwen and E. J. Baerends, Phys. Rev. A 49, 2421 (1994).
16. G. Vignale, Phys. Rev. Lett. 74, 3233 (1995).
17. J. F. Dobson, Phys. Rev. Lett. 73, 2244 (1994).
18. E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985).
19. C. A. Ullrich and G. Vignale, Phys. Rev. B 65, 245102 (2002).
20. Z. X. Qian and G. Vignale, Phys. Rev. B 65, 235121 (2002).
21. P. L. de Boeij, F. Kootstra, J. A. Berger, R. van Leeuwen, and J. G. Snijders, J. Chem. Phys. 115, 1995 (2001).
22. M. van Faassen, P. L. de Boeij, R. van Leeuwen, J. A. Berger, and J. G. Snijders, Phys. Rev. Lett. 88, 186401 (2002).
23. M. E. Casida, C. Jamorski, K. C. Casida, and D. R. Salahub, J. Chem. Phys. 108, 4439 (1998).
24. S. Hirata, M. Head-Gordon, and R. J. Bartlett, J. Chem. Phys. 111, 10774 (1999).
25. R. Baer and R. Gould, J. Chem. Phys. 114, 3385 (2001).
26. R. Baer, Chem. Phys. Lett. 264, 75 (2002).
27. R. Baer, D. Neuhauser, P. Zdanska, and N. Moiseyev, Phys. Rev. A 68, 043406 (2003).
28. A. Dreuw, J. Wiesman, and M. Head-Gordon, J. Chem. Phys. 119, 2943 (2003).
29. F. Aryasetiawan and O. Gunnarsson, Phys. Rev. B 66, 165119 (2002).
30. N. T. Maitra, K. Burke, and C. Woodward, Phys. Rev. Lett. 89, 023002 (2002).
31. Z. Qian, A. Constantinescu, and G. Vignale, Phys. Rev. Lett. 90, 066402 (2003).
32. V. Peuckert, J. Phys. C 11, 4945 (1978).
33. A. K. Rajagopal, Phys. Rev. A 54, 3916 (1996).
34. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1999).
35. T. K. Ng, Phys. Rev. Lett. 62, 2417 (1989).
36. N. Iwamoto and E. K. U. Gross, Phys. Rev. B 35, 3003 (1987).
37. R. Nifosi, S. Conti, and M. P. Tosi, Phys. Rev. B 58, 12758 (1998).
38. N. Iwamoto and E. K. U. Gross, Phys. Rev. B 35, 3003 (1987).
39. N. T. Maitra and K. Burke, Phys. Rev. A 6304, 042501 (2001).
40. P. Danielewicz, Ann. Phys. (Leipzig) 152, 239 (1984).
41. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer, Berlin, 1995).
42. J. P. Perdew and Y. Wang, Phys. Rev. B 45, 13244 (1992).