Non-V-representability of currents in time-dependent many-particle systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 24, 2005, Pages

  D'Agosta, Roberto ^a   Vignale, Giovanni ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28244469020     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.245103     Document Type: Article

References (17)

1. P. Hohenberg and W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.136.B864 136, B864 (1964).
2. W. Kohn and L. J. Sham, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140. A1133 140, A1133 (1965).
3. R. M. Dreizler and E. K. U. Gross, Density Functional Theory (Springer-Verlag, Heidelberg, 1990).
4. M. Levy, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 76, 6062 (1979).
5. J. T. Chayes, L. Chayes, and M. B. Ruskai, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01010474 38, 497 (1985).
6. E. Runge and E. K. U. Gross, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.997 52, 997 (1984).
7. Density Functional Theory of Many-Fermion Systems, edited by, S. B. Trickey,, Advances in Quantum Chemistry Vol. 21 (Academic, San Diego, 1990).
8. E. K. U. Gross, J. F. Dobson, and M. Petersilka, in Density Functional Theory II, edited by, R. F. Nalewajski, Topics in Current Chemistry Vol. 181 (Springer, Berlin, 1996), p. 81.
9. S. K. Ghosh and A. K. Dhara, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.1149 38, 1149 (1988).
10. G. Vignale and W. Kohn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2037 77, 2037 (1997).
11. C. A. Ullrich and G. Vignale, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.245102 65, 245102 (2002).
12. N. T. Maitra, I. Souza, and K. Burke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.045109 68, 045109 (2003).
13. G. Vignale, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.201102 70, 201102 (R) (2004).
14. G. Vignale and W. Kohn, in Electronic Density Functional Theory: Recent Progress and New Directions, edited by, J. F. Dobson,,, G. Vignale,, and, M. P. Das, (Plenum, New York, 1996), p. 199.
15. G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, UK, 2005).
16. For a review of some of the rigorous results on the V-representability in DFT, see R. van Leeuwen, Adv. Quantum Chem. AQCHA9 0065-3276 43, 25 (2003).
17. The possibility that a V-representable current might be non-V-representable in a noninteracting system was noted by N. T. Maitra, K. Burke, H. Appel, E. K. U. Gross, and R. van Leeuwen, in Reviews in Modern Quantum Chemistry: A celebration of the contributions of Robert Parr, edited by, K. Sen, (World Scientific, Singapore, 2002), p. 1186.