Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.050401
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Funding
- NSF [CHE-1112442]
- Direct For Mathematical & Physical Scien
- Division Of Chemistry [1112442] Funding Source: National Science Foundation
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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.
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