Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials

David Damanik; Gerald Teschl

doi:10.1090/s0002-9939-06-08550-9

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Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials

David Damanik·Gerald Teschl

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Abstract

We consider discrete one-dimensional Schroedinger 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.

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BibTeX RIS

David Damanik, Gerald Teschl. 2005-09-05. Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials. https://doi.org/10.1090/s0002-9939-06-08550-9

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