Discrete Spectrum of Quantum Hall Effect Hamiltonians II. Periodic Edge Potentials

Pablo Miranda, Georgi Raikov

We consider the unperturbed operator $H_0:=(-i\nabla -\mathbf{A}{)}^2+W$, self-adjoint in $L^2({\mathbb{R}}^2)$. Here $\mathbf{A}$ is a magnetic potential which generates a constant m…