Hohenberg-Kohn theorem for the lowest-energy resonance of unbound systems

Physical Review Letters

Volumn 98, Issue 9, 2007, Pages

  Wasserman, Adam ^a   Moiseyev, Nimrod ^b,c  

^a HARVARD UNIVERSITY   (United States)

^b HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY FUNCTIONAL THEORY; ELECTRON AFFINITY; GROUND STATE; RESONANCE; THEOREM PROVING;

HOHENBERG KOHN THEOREM; LOW ENERGY RESONANCE; UNBOUND ELECTRONIC SYSTEMS; UNBOUND SYSTEMS;

HIGH ENERGY PHYSICS;

EID: 33847666348     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.093003     Document Type: Article

References (23)

1. W. Kohn, Rev. Mod. Phys. 71, 1253 (1999). RMPHAT 0034-6861 10.1103/RevModPhys.71.1253
2. W.P. Reinhardt, Annu. Rev. Phys. Chem. 33, 223 (1982). ARPLAP 0066-426X 10.1146/annurev.pc.33.100182.001255
3. B.R. Junker, Adv. At. Mol. Phys. 18, 207 (1982). AAMOA2 0065-2199
4. N. Moiseyev, Phys. Rep. 302, 212 (1998). PRPLCM 0370-1573 10.1016/S0370-1573(98)00002-7
5. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964). PHRVAO 0031-899X 10.1103/PhysRev.136.B864
6. O. Gunnarsson and B.I. Lundqvist, Phys. Rev. B PLRBAQ 0556-2805 13, 4274 (1976). 10.1103/PhysRevB.13.4274
7. U. von Barth, Phys. Rev. A 20, 1693 (1979). PLRAAN 1050-2947 10.1103/PhysRevA.20.1693
8. R. Gaudoin and K. Burke, Phys. Rev. Lett. 93, 173001 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.173001
9. S.J. Buckman and C.W. Clark, Rev. Mod. Phys. 66, 539 (1994). RMPHAT 0034-6861 10.1103/RevModPhys.66.539
10. N. Moiseyev, Chem. Phys. Lett. 321, 469 (2000). CHPLBC 0009-2614 10.1016/S0009-2614(00)00342-0
11. S.M. Valone and J.F. Capitani, Phys. Rev. A 23, 2127 (1981). PLRAAN 1050-2947 10.1103/PhysRevA.23.2127
12. M. Ernzerhof, J. Chem. Phys. 125, 124104 (2006). JCPSA6 0021-9606 10.1063/1.2348880
13. I. Gilary, A. Fleischer, and N. Moiseyev, Phys. Rev. A 72, 012117 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.012117
14. N. Moiseyev, P.R. Certain, and F. Weinhold, Mol. Phys. 47, 585 (1982). MOPHAM 0026-8976 10.1080/00268978200100422
15. N. Moiseyev and L.S. Cederbaum, Phys. Rev. A 72, 033605 (2005). Note that for spherically symmetric external potentials, dr=4πr2dr and therefore the complex-scaled external potential operator in Eq. 2 is given by ∫dzn^(z)vext(z)=∫(r)vext[exp (iθ)r]. PLRAAN 1050-2947 10.1103/PhysRevA.72.033605
16. E.R. Davidson, E. Engdahl, and N. Moiseyev, Phys. Rev. A 33, 2436 (1986). PLRAAN 1050-2947 10.1103/PhysRevA.33.2436
17. V. Ryaboy and N. Moiseyev, J. Chem. Phys. 98, 9618 (1993). JCPSA6 0021-9606 10.1063/1.464392
18. M. Levy, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 76, 6062 (1979). 10.1073/pnas.76.12.6062
19. E.H. Lieb, Int. J. Quantum Chem. 24, 243 (1983). IJQCB2 0020-7608 10.1002/qua.560240302
20. I.M. Gel'fand and B.M. Levitan, Am. Math. Soc. Transl. 1, 253 (1955).
21. N. Moiseyev and O. Goschinski, Chem. Phys. Lett. 120, 520 (1985). CHPLBC 0009-2614 10.1016/0009-2614(85)80546-7
22. K.D. Jordan and P.D. Burrow, Chem. Rev. 87, 557 (1987). CHREAY 0009-2665 10.1021/cr00079a005
23. D.J. Tozer and F. De Proft, J. Phys. Chem. A 109, 8923 (2005). JPCAFH 1089-5639 10.1021/jp053504y