- 05-331 D. Damanik and G. Teschl
- Bound States of Discrete Schr dinger Operators with Super-Critical Inverse Square Potentials
Sep 20, 05
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Abstract. We consider discrete one-dimensional Schr dinger operators whose potentials decay asymptotically like an inverse square. In the super-critical 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.