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On the Dynamics of Crystal Electrons, high Momentum Regime

J. Asch, F. Bentosela, P. Duclos, G. Nenciu

math-pharXiv:math-ph/0006005

Abstract

We study the quantum dynamics generated by HSW=-d2 dx2+V-x with V a real periodic function of weak regularity. We prove that the continuous spectrum of HSW is never empty, and furthermore that for V small enough there are no bound states.

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