Quantum Billiard in a Magnetic Field: Chaos and Diamagnetism

Abstract
The quantum mechanics of noninteracting electrons is studied in a nonintegrable elliptic billiard with a uniform magnetic field applied perpendicularly. We make an attempt to establish a connection between chaotic dynamics and macroscopic quantum observables. For small two-dimensional systems, a remarkable reduction and large fluctuations of the diamagnetic susceptibility are found in the corresponding classically chaotic region.