01-339 Yu. Karpeshina
On the Periodic Magnetic Schr\"{o}dinger Operator in $R^d$. Eigenvalues and Model Functions. (494K, postscript) Sep 25, 01
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Abstract. An asymptotic formula for a rich family of eigenvalues of the periodic magnetic Schr\"{o}dinger operator is constructed in the high-energy region. Model functions, which solve the equation for eigenfunctions approximately are described explicitly. It is shown that the system of model functions is almost orthogonal and form a rich subspace in $L_2(R^d)$.

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