On crystal ground state in the Schr\"odinger-Poisson model: point ions
Quantum Physics
2015-12-01 v4
Abstract
A space-periodic ground state is shown to exist for lattices of point ions in coupled to the Schr\"odinger and scalar fields. The coupling requires the renormalization of the selfaction because of the singularity of the Coulomb potential. The ground state is constructed by minimization of the renormalized energy per cell. This energy is bounded from below when the charge of each ion is positive. The elementary cell is necessarily neutral.
Keywords
Cite
@article{arxiv.1409.1847,
title = {On crystal ground state in the Schr\"odinger-Poisson model: point ions},
author = {A. I. Komech},
journal= {arXiv preprint arXiv:1409.1847},
year = {2015}
}
Comments
10 pages. arXiv admin note: substantial text overlap with arXiv:1310.3084