Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian
Mathematical Physics
2015-05-13 v1 math.MP
Spectral Theory
Abstract
We study the Schroedinger operator with a constant magnetic field in the exterior of a compact domain in , . The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We give asymptotic formulas for the rate of accumulation of eigenvalues in these clusters. When the compact is a Reinhart domain we are able to show a more precise asymptotic formula.
Keywords
Cite
@article{arxiv.0806.4513,
title = {Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian},
author = {Mikael Persson},
journal= {arXiv preprint arXiv:0806.4513},
year = {2015}
}