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arXiv · 1606.07355

The ionization conjecture in Thomas-Fermi-Dirac-von Weizs\"acker theory

Rupert L. Frank·Phan Thành Nam·Hanne Van Den Bosch
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Abstract

We prove that in Thomas-Fermi-Dirac-von Weizs\"acker theory, a nucleus of charge $Z>0$ can bind at most $Z+C$ electrons, where $C$ is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.

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Rupert L. Frank, Phan Thành Nam, Hanne Van Den Bosch. 2016-06-23. The ionization conjecture in Thomas-Fermi-Dirac-von Weizs\"acker theory. https://arxiv.org/abs/1606.07355

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