New sum rules relating the 1-body momentum distribution of the homogeneous electron gas to the Overhauser 2-body wave functions of its pair density
arXiv:cond-mat/0212483 · doi:10.1002/pssb.200301820
Abstract
The recently derived sum rules for the scattering phase shifts of the Overhauser geminals (being 2-body-wave functions which parametrize the pair density together with an appropriately chosen occupancy) are generalized to integral equations which allow in principle to calculate the momentum distribution, supposed the phase sifts of the Overhauser geminals are known from an effective parity-dependent interaction potential (screened Coulomb repulsion).
10 pages
References in corpus (4)
- Pair distribution function of the spin-polarized electron gas: A first-principles analytic model for all uniform densities
- Short-range correlation in the uniform electron gas: Extended Overhauser model
- Momentum distribution of the uniform electron gas: improved parametrization and exact limits of the cumulant expansion
- Self-consistent Overhauser model for the pair distribution function of an electron gas in dimensionalities D=3 and D=2