05-90 O.A.Veliev

Asymptotic Analysis Of the Periodic Schrodinger Operator (100K, LATeX 2e) Mar 3, 05

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Abstract. In this paper we obtain asymptotic formulas of arbitrary order for the Bloch eigenvalues and Bloch functions of the Schrodinger operator $-\Delta+q(x),$ of arbitrary dimension, with periodic, with respect to arbitrary lattice, potential $q(x)$. Moreover, we estimate the measure of the isoenergetic surfaces in the high energy region.

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