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Scattering Length and the Spectrum of $-\Delta+V$ |
Canad. Math. Bull. 49(2006), 144-151
Published:2006-03-01
Printed: Mar 2006
Printed: Mar 2006
- Michael Taylor
Abstract
Given a non-negative, locally integrable function $V$
on $\RR^n$, 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.
| MSC Classifications: | 35J10 - Schrodinger operator [See also 35Pxx] |