Existence of minimizers for Kohn-Sham within the Local Spin Density Approximation

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Detalles Bibliográficos
Autor principal:	Gontier, David
Formato:	Preprint
Publicado:	2014
Materias:	Mathematical Physics
Acceso en línea:	Acceder al recurso
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_version_	1866929592706531328
author	Gontier, David
author_facet	Gontier, David
contents	The purpose of this article is to extend the work by Anantharaman and Cancès [1], and prove the existence of minimizers for the spin-polarized Kohn-Sham model in the presence of a magnetic field within the local spin density approximation. We show that for any magnetic field that vanishes at infinity, the existence of minimizers is ensured for neutral or positively charged systems. The proof relies on classical concentration-compactness techniques.
format	Preprint
id	arxiv_https___arxiv_org_abs_1404_5040
institution	arXiv
publishDate	2014
record_format	arxiv
spellingShingle	Existence of minimizers for Kohn-Sham within the Local Spin Density Approximation Gontier, David Mathematical Physics The purpose of this article is to extend the work by Anantharaman and Cancès [1], and prove the existence of minimizers for the spin-polarized Kohn-Sham model in the presence of a magnetic field within the local spin density approximation. We show that for any magnetic field that vanishes at infinity, the existence of minimizers is ensured for neutral or positively charged systems. The proof relies on classical concentration-compactness techniques.
title	Existence of minimizers for Kohn-Sham within the Local Spin Density Approximation
topic	Mathematical Physics
url	https://arxiv.org/abs/1404.5040

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