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Open Quantum Systems Decoherence Quantum Simulation

Corrections to Thomas-Fermi densities at turning points and beyond

arXiv

Authors: Raphael F. Ribeiro, Donghyung Lee, Attila Cangi, Peter Elliott, Kieron Burke

Year

2014

Paper ID

47343

Status

Preprint

Abstract Read

~2 min

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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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Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many non-interacting fermions in one-dimensional potentials with two turning...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.6802 [2] arXiv https://arxiv.org/abs/1409.6802 [3] Publisher https://arxiv.org/abs/1409.6802

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