 05331 D. Damanik and G. Teschl
 Bound States of Discrete Schr dinger Operators with SuperCritical Inverse Square Potentials
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Sep 20, 05

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Abstract. We consider discrete onedimensional Schr dinger operators whose potentials decay asymptotically like an inverse square. In the supercritical case, where there are infinitely many discrete eigenvalues, we compute precise asymptotics of the number of eigenvalues below a given energy $E$ as this energy tends to the bottom of the essential spectrum.
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