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arXiv · 1910.02104

Mass splitting in the Thomas-Fermi-Dirac-von Weizs\"acker model with background potential

Lorena Aguirre Salazar·Stan Alama·Lia Bronsard
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Abstract

We consider minimization problems of the Thomas-Fermi-Dirac-von Weizs\"{a}cker (TFDW) type, in which the Newtonian potential is perturbed by a background potential satisfying mild conditions and which ensures the existence of minimizers. We describe the structure of minimizing sequences for those variants, and obtain a more precise characterization of patterns in minimizing sequences for the TFDW functionals regularized by long-range perturbations.

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Lorena Aguirre Salazar, Stan Alama, Lia Bronsard. 2019-10-04. Mass splitting in the Thomas-Fermi-Dirac-von Weizs\"acker model with background potential. https://arxiv.org/abs/1910.02104

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