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arXiv · 1409.6802

Corrections to Thomas-Fermi densities at turning points and beyond

Raphael F. Ribeiro·Donghyung Lee·Attila Cangi·Peter Elliott·Kieron Burke
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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.

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Raphael F. Ribeiro, Donghyung Lee, Attila Cangi, Peter Elliott, Kieron Burke. 2015-02-25. Corrections to Thomas-Fermi densities at turning points and beyond. https://doi.org/10.1103/physrevlett.114.050401

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