On the Dynamics of Crystal Electrons, high Momentum Regime

Abstract

We study the quantum dynamics generated by $H^{SW}=-\frac{d^2}{d{x}^2}+V-x$ with $V$ a real periodic function of weak regularity. We prove that the continuous spectrum of $H^{SW}$ is never empty, and furthermore that for $V$ small enough there are no bound states.

16 pages