The Electron-Gas Pair Densities and their Normalization Sum Rules in Terms of Overhauser Geminals and Corresponding Scattering Phase Shifts

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/20329It is shown, how the normalization sum rules of the spin-parallel and spin-antiparallel pair densities of the homogeneous electron gas become sum rules for the scattering phase shifts of the Overhauser two-body wave functions (geminals), with which the pair densities have been successfully parametrized recently. These new sum rules relate two-body quantities to a one-body quantity, namely the asymptotics of the Overhauser geminals to the momentum distribution.4 pagesStrongly Correlated ElectronsStatistical MechanicsThe Electron-Gas Pair Densities and their Normalization Sum Rules in Terms of Overhauser Geminals and Corresponding Scattering Phase Shiftstext