Semiclassical dynamics of an electron moving in a slowly perturbed periodic potential

S. Teufel, G. Panati

2003. Proceedings of the XIV International Congress on Mathematical Physics, Lisbon.

Zusammenfassung

The semiclassical dynamics of a quantum particle in a slowly perturbed periodic potential are discussed. Based on recent results we explain how the well known semiclassical model of solid state physics is related to the Schrödinger equation. We also present the less known first order corrections to the semiclassical model and discuss their relation to the quantization of the Hall conductivity.