Développements asymptotiques des perturbations lentes de l'opérateur de schrödinger Périodique

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Abstract
In the semi-classical regime we study the eigenvalues of the operators where V is periodic with respect to a lattice and is bounded with all its derivatives. A(x) is a magnetic potential such that all derivates of non-vanishing order are bounded. We obtain an esymptotic expansion in powers of h of tr where I is an interval disjoint from the essential spectrum. In the case of a simple band we give explicitly the coefficients of this expansion.

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