The Schr\"odinger operator on an infinite wedge with a tangent magnetic field
Analysis of PDEs
2014-02-20 v1 Spectral Theory
Abstract
We study a model Schr\"odinger operator with constant magnetic field on an infinite wedge with Neumann boundary condition. The magnetic field is assumed to be tangent to a face. We compare the bottom of the spectrum to the model spectral quantities coming from the regular case. We are particularly motivated by the influence of the magnetic field and the opening angle of the wedge on the spectrum of the model operator and we exhibit cases where the bottom of the spectrum is smaller than in the regular case. Numerical computations enlighten the theoretical approach.
Keywords
Cite
@article{arxiv.1402.4694,
title = {The Schr\"odinger operator on an infinite wedge with a tangent magnetic field},
author = {Nicolas Popoff},
journal= {arXiv preprint arXiv:1402.4694},
year = {2014}
}