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math-ph2003★ 9 cited
On the smoothness of gap boundaries for generalized Harper operators
Gheorghe Nenciu
Results concerning set theoretic continuity properties of the spectrum of the Harper operator are extended to a large class (generalized Harper operators (GHO)) of operators in $L^…
math-ph2000
On the Dynamics of Crystal Electrons, high Momentum Regime
J. Asch, F. Bentosela, P. Duclos +1
We study the quantum dynamics generated by with a real periodic function of weak regularity. We prove that the continuous spectrum of is…