Discrete Spectrum of Quantum Hall Effect Hamiltonians I. Monotone Edge Potential

Vincent Bruneau, Pablo Miranda, Georgi Raikov

We consider the unperturbed operator $H_0:=(-i\nabla -A{)}^2+W$, self-adjoint in $L^2({\mathbb{R}}^2)$. Here $A$ is a magnetic potential which generates a constant magnetic field $b>0$,…