Magnetic quantum currents in the presence of a Neumann wall
Mathematical Physics
2023-08-09 v1 math.MP
Spectral Theory
Abstract
We consider the Schr\"odinger operator with constant transverse magnetic field on a half-plane, endowed with Neumann boundary conditions. We study the low energy currents flowing along the boundary and we establish a Limiting Absorption Principle for the magnetic Neumann Laplacian under perturbation of an electric potential.
Keywords
Cite
@article{arxiv.2202.03710,
title = {Magnetic quantum currents in the presence of a Neumann wall},
author = {Nicolas Raymond and Éric Soccorsi},
journal= {arXiv preprint arXiv:2202.03710},
year = {2023}
}