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 non-interacting 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.

5 pages, 5 figures

References in corpus (2)

• Leading corrections to local approximations
• Closed-Orbit Theory of Spatial Density Oscillations in Finite Fermion Systems

Cited by in corpus (2)

• Leading corrections to local approximations II (with turning points)
• First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures