On the Dynamics of Crystal Electrons, high Momentum Regime
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🧮 math-ph
math.APmath.MP
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dynamicsboundcontinuouscrystalelectronsemptyenoughfunction
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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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