Citation:
Landry, B.R., Wasserman, A. & Heller, E.J. Semiclassical Ground-State Energies of Many-Electron Systems. Physical review letters 103, 066401 (2009).
Abstract:
A new semiclassical method is proposed to obtain accurate ground-state energies for many-electron systems. The method borrows its semiclassical character from Thomas-Fermi (TF) theory, but improves upon it by including exchange-correlation effects, at least approximately. We illustrate our method (correlated TF method) on simple models of 1D-interacting electrons, showing that it yields dramatic improvements over TF theory, particularly in the strongly correlated regime.