Memory in Time-Dependent Density Functional Theory

Physical Review Letters

Volumn 89, Issue 2, 2002, Pages

  Maitra, Neepa T ^a   Burke, Kieron ^a   Woodward, Chris ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TRANSITIONS; GROUND STATE; KINETIC ENERGY; MATHEMATICAL OPERATORS; PROBABILITY DENSITY FUNCTION;

TIME-DEPENDENT DENSITY FUNCTIONAL THEORY (TDDFT);

QUANTUM THEORY;

EID: 0037043010     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.023002     Document Type: Article

References (35)

1. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
2. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
3. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996);
4. Phys. Rev. Lett.J. P. PerdewK. BurkeM. Ernzerhof 78, 1396(E) (1997).
5. G. F. Bertsch, J.-I. Iwata, A. Rubio, and K. Yabana, Phys. Rev. B 62, 7998 (2000).
6. F. Kootstra, P. L. Boeij, and J. G. Snijders, J. Chem. Phys. 112, 6517 (2000).
7. M. Proust, À la Recherche du Temps Perdu, translated by C. K. Scott-Moncrieff (Random House, New York,1934).
8. E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985);
9. Phys. Rev. Lett.E. K. U. GrossW. Kohn 57, 923(E) (1986).
10. J. F. Dobson, Phys. Rev. Lett. 73, 2244 (1994).
11. G. Vignale and W. Kohn, Phys. Rev. Lett. 77, 2037 (1996).
12. G. Vignale, C. A. Ullrich, and S. Conti, Phys. Rev. Lett. 79, 4878 (1997).
13. J. F. Dobson, M. Bünner, and E. K. U. Gross, Phys. Rev. Lett. 79, 1905 (1997).
14. P. Hessler, N. T. Maitra, and K. Burke (to be published).
15. E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984).
16. R. van Leeuwen, Phys. Rev. Lett. 82, 3863 (1999).
17. N. T. Maitra and K. Burke, Phys. Rev. A 63, 042501 (2001);
18. Phys. Rev. AN. T. MaitraK. Burke 64, 039901(E) (2001).
19. P. Hessler, J. Park, and K. Burke, Phys. Rev. Lett. 82, 378 (1999);
20. P. HesslerJ. ParkK. Burke Phys. Rev. Lett. 83, 5184(E) (1999).
21. A simple example of a piecewise analytic potential is (Formula presented) from (Formula presented) to (Formula presented) and (Formula presented) from (Formula presented) onwards. This shares the same history as the analytic function (Formula presented) from (Formula presented) to (Formula presented) but differs after that.
22. See, for example, D. Bauer and F. Ceccherini, Opt. Ex. 8, 377 (2001).
23. N. T. Maitra, K. Burke, and C. Woodward (unpublished).
24. W. S. Warren, H. Rabitz, and M. Dahleh, Science 259, 1582 (1993);
25. P. Brumer and M. Shapiro, Annu. Rev. Phys. Chem. 43, 257 (1992);
26. S. A. Rice, Adv. Chem. Phys. 101, 315 (1997).
27. V. Ramakrishna, M. V. Salapeka, M. Dahleh, H. Rabitz, and A. Peirce, Phys. Rev. A 51, 960 (1995);
28. V. Jurdjevic and H. J. Sussmann, J. Differ. Equ. 12, 313 (1972);
29. G. M. Huang, T. J. Tarn, and J. W. Clark, J. Math. Phys. 24, 2608 (1983).
30. I. V. Tokatly and O. Pankratov, Phys. Rev. Lett. 86, 2078 (2001).
31. M. E. Casida, in Recent Developments and Applications in Density Functional Theory, J. M. Seminario (Elsevier, Amsterdam,1996).
32. M. Petersilka, U. J. Gossmann, and E. K. U. Gross, Phys. Rev. Lett. 76, 1212 (1996).
33. T. Ziegler, A. Rauk, and E. J. Baerends, Theor. Chim. Acta 43, 261 (1977).
34. This is certainly true when the KS system is a single Slater determinant, and can be shown to be true in many other cases also.
35. C. A. Ullrich, U. J. Gossman, and E. K. U. Gross, Phys. Rev. Lett. 74, 872 (1995).