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Scattering Length and the Spectrum of –Δ + V

Published online by Cambridge University Press:  20 November 2018

Michael Taylor
Michael Taylor*
Affiliation:
Mathematics Department, University of North Carolina, Chapel Hill, NC 27599, U.S.A. e-mail: [email protected]
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Abstract

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Given a non-negative, locally integrable function $V$ on ${{\mathbb{R}}^{n}}$, we give a necessary and sufficient condition that $-\Delta +V$ have purely discrete spectrum, in terms of the scattering length of $V$ restricted to boxes.

Keywords

35J10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 1 , 01 March 2006 , pp. 144 - 151
Copyright
Copyright © Canadian Mathematical Society 2006

References

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