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On the Dynamics of Crystal Electrons, high Momentum Regime

J. Asch·F. Bentosela·P. Duclos·G. Nenciu
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Abstract

We study the quantum dynamics generated by $H^{SW}=-{d^2\over dx^2}+V-x$ 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.

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J. Asch, F. Bentosela, P. Duclos, G. Nenciu. 2000-06-06. On the Dynamics of Crystal Electrons, high Momentum Regime. https://arxiv.org/abs/math-ph/0006005

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