Scattering Length and the Spectrum of $-\Delta+V$
Printed: Mar 2006
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.
35J10 - Schrodinger operator [See also 35Pxx]