Density-matrix representation of nonadiabatic couplings in time-dependent density functional (TDDFT) theories

Journal of Chemical Physics

Volumn 112, Issue 8, 2000, Pages 3572-3579

  Chernyak, Vladimir ^a   Mukamel, Shaul ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000361692     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.480511     Document Type: Article

References (25)

1. W. Domcke and D. Stock, Adv. Chem. Phys. 100, 1 (1997).
2. E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984).
3. B.-X. Xu and A. K. Rajagopal, Phys. Rev. A 31, 2682 (1985).
4. A. K. Dhara and S. K. Ghosh, Phys. Rev. A 35, 442 (1987).
5. M. E. Casida, Recent Advances in Density Functional Methods, Part I, edited by D. P. Chong (Singapore, World Scientific, 1995), p. 155.
6. R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University Press, New York, 1989).
7. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
8. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
9. A. Zangwill and P. Soven, Phys. Rev. A 21, 1561 (1980).
10. E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985).
11. T. K. Ng, Phys. Rev. Lett. 62, 2417 (1989).
12. G. Senatore and K. R. Subbaswamy, Phys. Rev. A 35, 2440 (1987).
13. S. Tretiak, V. Chernyak, and S. Mukamel, J. Am. Chem. Soc. 119, 11408 (1997).
14. M. Levy, Proc. Natl. Acad. Sci. USA 76, 6062 (1979).
15. E. H. Lieb, Int. J. Quantum Chem. 24, 243 (1983).
16. V. I. Arnold, Mathematical Methods in Classical Mechanics (Springer-Verlag, New York, 1978).
17. V. Chernyak and S. Mukamel, J. Chem. Phys. 111, 4383 (1999).
18. A. Perelomov, Generalized Coherent States and their Applications (Springer, Berlin, 1986).
19. A. A. Kirillov, Elements of the Theory of Representations (Springer, Berlin, 1976).
20. V. Chernyak and S. Mukamel, J. Chem. Phys. 104, 444 (1996).
21. E. K. U. Gross and W. Kohn, Adv. Quantum Chem. 21, 255 (1990).
22. S. Tretiak, V. Chernyak, and S. Mukamel, Int. J. Quantum Chem. 70, 711 (1998).
23. V. I. Arnold, Ordinary Differential Equations (MIT Press, Cambridge, 1973); Geometrical Methods in the Theory of Ordinary Differential Equations (Springer-Verlag, New York, 1988).
24. V. I. Arnold, Ordinary Differential Equations (MIT Press, Cambridge, 1973); Geometrical Methods in the Theory of Ordinary Differential Equations (Springer-Verlag, New York, 1988).
25. M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1972-1979), Vols. 1-4.