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arXiv · 1601.01187

Convergence Rates from Yukawa to Coulomb Interaction in the Thomas-Fermi-von Weizsäcker Model

Faizan Q. Nazar
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Abstract

We establish uniform convergence, with explicit rate, of the solution to the Thomas--Fermi--von Weizsäcker (TFW) Yukawa model to the solution of the TFW Coulomb model, for general condensed nuclear configurations. As a consequence, we show the convergence of forces from the Yukawa to the Coulomb model. These results rely on an extension of Nazar \& Ortner (2015) to the Yukawa setting. Auxiliary results of independent interest shown also include new existence, uniqueness and stability results for the Yukawa ground state.

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Faizan Q. Nazar. 2016-01-06. Convergence Rates from Yukawa to Coulomb Interaction in the Thomas-Fermi-von Weizsäcker Model. https://arxiv.org/abs/1601.01187

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