Published April 2007
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Bound states of discrete Schrödinger operators with super-critical inverse square potentials
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Abstract
We consider discrete one-dimensional Schrödinger 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 as this energy tends to the bottom of the essential spectrum.
Additional Information
©2006 American Mathematical Society. Communicated by Joseph A. Ball. Received by the editors September 3, 2005 and, in revised form, November 9, 2005. Article electronically published on October 4, 2006. Gerald Teschl gratefully acknowledges the extraordinary hospitality of the Department of Mathematics at Caltech, where this work was done. This work was supported by the National Science Foundation under Grant No. DMS-0500910 and the Austrian Science Fund (FWF) under Grant No. P17762.Attached Files
Published - DAMpams06.pdf
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DAMpams06.pdf
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Additional details
Identifiers
- Eprint ID
- 12274
- Resolver ID
- CaltechAUTHORS:DAMpams06
Funding
- National Science Foundation
- DMS-0500910
- Austrian Science Fund (FWF)
- P17762
Dates
- Created
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2008-11-14Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field