Exact Kohn-Sham versus Hartree-Fock in momentum-space: examples of two-fermion systems
arXiv:physics/0606139 · doi:10.1063/1.2212935
Abstract
The question of how density functional theory (DFT) compares with Hartree-Fock (HF) for the computation of momentum-space properties is addressed in relation to systems for which (near) exact Kohn-Sham (KS) and HF one-electron matrices are known. This makes it possible to objectively compare HF and exact KS and hence to assess the potential of DFT for momentum space studies. The systems considered are the Moshinsky atom, the Hooke's atom and light two-electron ions, for which expressions for correlated density-matrices or momentum densities have been derived in closed-form. The results obtained show that it is necessary to make a distinction between true and approximate DFT.
30 pages, accepted for publication in J. Chem. Phys. (2006)
References in corpus (1)
Cited by in corpus (3)
- Fourier-Legendre expansion of the one-electron density-matrix of ground-state two-electron atoms
- Comments on the momentum density and the spatial form of the density-matrix of the Hooke's atom
- Closed-form expressions for correlated density matrices: application to dispersive interactions and example of (He)2