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

2002/11/19 by Paul Ziesche, P. Ziesche, Ziesche, Paul
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0211408

4 pages

openalex publication_date 2002/11/19 · arxiv created 2002/11/22 · arxiv updated 2009/11/30 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

It is shown, how the normalization sum rules of the spin-parallel and\nspin-antiparallel pair densities of the homogeneous electron gas become sum\nrules for the scattering phase shifts of the Overhauser two-body wave functions\n(geminals), with which the pair densities have been successfully parametrized\nrecently. These new sum rules relate two-body quantities to a one-body\nquantity, namely the asymptotics of the Overhauser geminals to the momentum\ndistribution.\n

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