title: Corrections to Thomas-Fermi densities at turning points and beyond.
abstract: Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many noninteracting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the leading corrections to Thomas-Fermi theory, involve neither sums nor derivatives, are spatially uniform approximations, and are exceedingly accurate.
authors.affiliation: Department of Chemistry, University of California, Irvine, California 92697, USA.
authors.forename: Raphael F
authors.initials: RF
authors.lastname: Ribeiro
authors.affiliation: Samsung SDI Inc., SMRC, Samsung-ro 130, Yeongtong-gu, Suwon-si, Gyeonggi-do 443-803, Republic of Korea.
authors.forename: Donghyung
authors.initials: D
authors.lastname: Lee
authors.affiliation: Max Planck Institute of Microstructure Physics, Weinberg 2, 06120 Halle (Saale), Germany.
authors.forename: Attila
authors.initials: A
authors.lastname: Cangi
authors.affiliation: Max Planck Institute of Microstructure Physics, Weinberg 2, 06120 Halle (Saale), Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Elliott
authors.affiliation: Department of Chemistry, University of California, Irvine, California 92697, USA.
authors.forename: Kieron
authors.initials: K
authors.lastname: Burke