Edge States for the Magnetic Laplacian in Domains with Smooth Boundary
Edge States for the Magnetic Laplacian in Domains with Smooth Boundary
We are interested in the spectral properties of the magnetic Schrödinger operator $H_\varepsilon$ in a domain $\Omega \subset \mathbb{R}^2$ with compact boundary and with magnetic field of intensity $\varepsilon^{-2}$. We impose Dirichlet boundary conditions on $\partial\Omega$. Our main focus is the existence and description of the so-called edge states, namely …