2005/09/07 by Zhixin Qian
Physics and Astronomy · #Advanced Chemical Physics Studies #Optical properties and cooling technologies in crystalline materials #Quantum and electron transport phenomena #cond-mat.mtrl-sci #cond-mat.str-el #physics.chem-ph
paper · pdf · doi:10.1103/physrevb.73.035106
8 pages, 4 figures
arxiv created 2005/09/07 · openalex publication_date 2006/01/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The ladder theory, in which the Bethe-Goldstone equation for the effective potential between two scattering particles plays a central role, is well known for its satisfactory description of the short-range correlations in the homogeneous electron liquid. By solving exactly the Bethe-Goldstone equation in the limit of large transfer momentum between two scattering particles, we obtain accurate results for the on-top pair-correlation function g(0), in both three dimensions and two dimensions. Furthermore, we prove, in general, that the ladder theory satisfies the cusp condition for the pair-correlation function g(r) at zero distance r=0.