Diamagnetism versus Robin condition and concentration of ground states
Spectral Theory
2015-07-30 v1
Abstract
We estimate the ground state energy for the magnetic Laplacian with a Robin condition. In a special asymptotic limit, we find that the magnetic field does not contribute to the two-term expansion of the ground state energy, thereby proving that the Robin condition weakens diamagnetism. We discuss a semi-classical version of the operator and prove that the ground states concentrate near the boundary points of maximal curvature.
Keywords
Cite
@article{arxiv.1507.08016,
title = {Diamagnetism versus Robin condition and concentration of ground states},
author = {A. Kachmar},
journal= {arXiv preprint arXiv:1507.08016},
year = {2015}
}