Time-dependent v -representability on lattice systems

Journal of Chemical Physics

Volumn 129, Issue 4, 2008, Pages

  Li, Yonghui ^a   Ullrich, C A ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS;

CONTINUITY EQUATIONS; CONTINUUM LIMITS; DISCRETIZATION; ELECTRONIC SYSTEMS; KINETIC-ENERGY OPERATOR; LATTICE SYSTEMS; NUMERICAL APPLICATIONS; REAL TIME; TIME-DEPENDENT; TIME-DEPENDENT DENSITY; TIME-DEPENDENT DENSITY FUNCTIONAL THEORY;

DENSITY FUNCTIONAL THEORY;

EID: 49149114212     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2955733     Document Type: Article

References (28)

1. Time-Dependent Density Functional Theory, Lecture Notes in Physics Vol. 706, edited by, M. A. L. Marques, C. A. Ullrich, F. Nogueira, A. Rubio, K. Burke, and, E. K. U. Gross, (Springer, Berlin, 2006).
2. E. Runge and E. K. U. Gross, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.52.997 52, 997 (1984).
3. P. Hohenberg and W. Kohn, Phys. Rev. 0096-8250 10.1103/PhysRev.136.B864 136, B864 (1964).
4. W. Kohn, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.71.1253 71, 1253 (1999).
5. H. O. Wijewardane and C. A. Ullrich, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.95.086401 95, 086401 (2005).
6. C. A. Ullrich and I. V. Tokatly, Phys. Rev. B 0163-1829 10.1103/PhysRevB.73.235102 73, 235102 (2006).
7. G. Vignale, Phys. Rev. A 77, 062511 (2008).
8. R. Baer, J. Chem. Phys. 0021-9606 10.1063/1.2822124 128, 044103 (2008).
9. R. M. Dreizler and E. K. U. Gross, Density-Functional Theory: An Approach to the Quantum Many-Body Problem (Springer, Berlin, 1990).
10. J. Chen and M. J. Stott, Phys. Rev. A 1050-2947 10.1103/PhysRevA.47.153 47, 153 (1993); J. Chen and M. J. Stott, Phys. Rev. A 1050-2947 10.1103/PhysRevA.44.2816 44, 2816 (1991).
11. W. Kohn, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.51.1596 51, 1596 (1983).
12. J. T. Chayes, L. Chayes, and M. B. Ruskai, J. Stat. Phys. 0022-4715 10.1007/BF01010474 38, 497 (1985).
13. C. A. Ullrich and W. Kohn, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.89.156401 89, 156401 (2002).
14. P. E. Lammert, J. Chem. Phys. 0021-9606 10.1063/1.2336211 125, 074114 (2006).
15. C. A. Ullrich, Phys. Rev. B 0163-1829 10.1103/PhysRevB.72.073102 72, 073102 (2005).
16. R. van Leeuwen, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.82.3863 82, 3863 (1999).
17. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
18. C. Verdozzi, e-print arXiv:0707.2317v1; (private communication).
19. P. Pfeifer, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.70.3365 70, 3365 (1993); P. Pfeifer and J. Fröhlich, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.67.759 67, 759 (1995).
20. . Vibók and G. G. Balint-Kurti, J. Phys. Chem. 0022-3654 10.1021/j100201a012 96, 8712 (1992).
21. C. M. Bender, D. C. Brody, and H. F. Jones, Am. J. Phys. 0002-9505 10.1119/1.1574043 71, 1095 (2003).
22. C. M. Bender, D. C. Brody, H. F. Jones, and B. K. Meister, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.040403 98, 040403 (2007).
23. I. D'Amico and G. Vignale, Phys. Rev. B 0163-1829 10.1103/PhysRevB.59. 7876 59, 7876 (1999).
24. P. Hessler, N. T. Maitra, and K. Burke, J. Chem. Phys. 0021-9606 10.1063/1.1479349 117, 72 (2002).
25. A. S. de Wijn, S. Kümmel, and M. Lein, J. Comput. Phys. 0021-9991 10.1016/j.jcp.2007.03.022 226, 89 (2007).
26. C. A. Ullrich, J. Chem. Phys. 0021-9606 10.1063/1.2406069 125, 234108 (2006).
27. M. Levy, Phys. Rev. A 1050-2947 10.1103/PhysRevA.26.1200 26, 1200 (1982).
28. H. O. Wijewardane and C. A. Ullrich, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.100.056404 100, 056404 (2008).