Magnetic quantum currents in the presence of a Neumann wall
Abstract
We consider the Schrödinger 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.
Domains
Mathematics [math]
Origin : Files produced by the author(s)