On the semiclassical spectrum of the Dirichlet-Pauli operator
Spectral Theory
2020-01-31 v2 Mathematical Physics
math.MP
Abstract
This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set whose boundary carries Dirichlet conditions. Assuming that the magnetic field is positive and a few generic conditions, we establish the simplicity of the eigenvalues and provide accurate asymptotic estimates involving Segal-Bargmann and Hardy spaces associated with the magnetic field.
Keywords
Cite
@article{arxiv.1810.03344,
title = {On the semiclassical spectrum of the Dirichlet-Pauli operator},
author = {Jean-Marie Barbaroux and Loïc Le Treust and Nicolas Raymond and Edgardo Stockmeyer},
journal= {arXiv preprint arXiv:1810.03344},
year = {2020}
}
Comments
Journal of the European Mathematical Society, European Mathematical Society, In press