Absence of embedded eigenvalues for translationally invariant magnetic Laplacians
Mathematical Physics
2019-09-04 v1 Analysis of PDEs
math.MP
Spectral Theory
Abstract
Translationnally invariant bidimensional magnetic Laplacians are considered. Using an improved version of the harmonic approximation, we establish the absence of point spectrum under various assumptions on the behavior of the magnetic field.
Keywords
Cite
@article{arxiv.1903.02754,
title = {Absence of embedded eigenvalues for translationally invariant magnetic Laplacians},
author = {Nicolas Raymond and Julien Royer},
journal= {arXiv preprint arXiv:1903.02754},
year = {2019}
}