Magnetic Dirac operator in strips submitted to strong magnetic fields
Mathematical Physics
2025-01-20 v2 math.MP
Spectral Theory
Abstract
We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with accurate estimates of the essential and discrete spectra. In particular, we give sufficient conditions ensuring that the discrete spectrum is non-empty.
Keywords
Cite
@article{arxiv.2409.06284,
title = {Magnetic Dirac operator in strips submitted to strong magnetic fields},
author = {Loïc Le Treust and Julien Royer and Nicolas Raymond},
journal= {arXiv preprint arXiv:2409.06284},
year = {2025}
}