Effective operators on an attractive magnetic edge
Spectral Theory
2022-07-28 v1
Abstract
The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontinuous along a smooth closed curve, thereby producing an attractive magnetic edge. Various accurate spectral asymptotics are established by means of a dimensional reduction involving a microlocal phase space localization allowing to deal with the discontinuity of the field.
Keywords
Cite
@article{arxiv.2207.13391,
title = {Effective operators on an attractive magnetic edge},
author = {Soeren Fournais and Bernard Helffer and Ayman Kachmar and Nicolas Raymond},
journal= {arXiv preprint arXiv:2207.13391},
year = {2022}
}