Unconstrained Variational Determination of the Kohn-Sham Potential

作者: N. I. Gidopoulos

DOI:

关键词: PhysicsScheme (mathematics)Quantum mechanicsDensity functional theoryKohn–Sham equationsContent (measure theory)Classical mechanicsElectronic systems

摘要: Density Functional Theory's Kohn-Sham (KS) potential emerges as the minimizing effective in an unconstrained variational scheme that does not involve fixing unknown single-electron density. The physical content behind virtual KS system, of a non-interacting electronic system representing optimally interacting one, is brought to light.

参考文章(22)
Reiner M. Dreizler, Eberhard K.U. Gross, Gross E.K.U., Density Functional Theory: An Approach to the Quantum Many-Body Problem ,(1991)
B. M. Deb, Norman H. March, The Single-Particle Density in Physics and Chemistry ,(1988)
Ireneusz Grabowski, So Hirata, Stanislav Ivanov, Rodney J. Bartlett, Ab initio density functional theory: OEP-MBPT(2). A new orbital-dependent correlation functional The Journal of Chemical Physics. ,vol. 116, pp. 4415- 4425 ,(2002) , 10.1063/1.1445117
A K Theophilou, The energy density functional formalism for excited states Journal of Physics C: Solid State Physics. ,vol. 12, pp. 5419- 5430 ,(1979) , 10.1088/0022-3719/12/24/013
L. N. Oliveira, E. K. U. Gross, W. Kohn, Density-functional theory for ensembles of fractionally occupied states. II. Application to the He atom Physical Review A. ,vol. 37, pp. 2821- 2833 ,(1988) , 10.1103/PHYSREVA.37.2821
M. Levy, Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem Proceedings of the National Academy of Sciences of the United States of America. ,vol. 76, pp. 6062- 6065 ,(1979) , 10.1073/PNAS.76.12.6062
N. I. Gidopoulos, P. G. Papaconstantinou, E. K. U. Gross, Spurious interactions, and their correction, in the ensemble-Kohn-Sham scheme for excited States. Physical Review Letters. ,vol. 88, pp. 033003- ,(2002) , 10.1103/PHYSREVLETT.88.033003
Peter M. Levy, Caroline G. Morgan-Pond, Raghu Raghavan, Mode-coupling calculations of electron-spin resonance in long-range spin-glasses Physical Review B. ,vol. 30, pp. 2358- 2368 ,(1984) , 10.1103/PHYSREVB.30.2358
A. Savin, C.J. Umrigar, Xavier Gonze, Relationship of Kohn–Sham eigenvalues to excitation energies Chemical Physics Letters. ,vol. 288, pp. 391- 395 ,(1998) , 10.1016/S0009-2614(98)00316-9