Scattering of magnetic edge states

TL;DR

This paper develops a scattering theory for magnetic edge states in a 2D domain, analyzing the behavior of quantum particles under strong magnetic fields and connecting quantum scattering phases to classical trajectories.

Contribution

It introduces a new scattering framework for magnetic edge states and links quantum scattering phases to classical particle trajectories at high magnetic fields.

Findings

Scattering phase approaches a limit as magnetic field strength increases

Quantum edge states' behavior can be interpreted through classical trajectories

Provides a theoretical foundation for understanding magnetic edge state scattering

Abstract

We consider a charged particle following the boundary of a two-dimensional domain because a homogeneous magnetic field is applied. We develop the basic scattering theory for the corresponding quantum mechanical edge states. The scattering phase attains a limit for large magnetic fields which we interpret in terms of classical trajectories.