- 94-78 Gesztesy F., Holden H., Simon B.
- Absolute Summability of the Trace Relation for Certain
Mar 30, 94
(auto. generated ps),
of related papers
Abstract. A recently established general trace formula for
one-dimensional Schr\"odinger operators is systematically studied in
the context of short-range potentials, potentials which approach
different spatial asymptotes sufficiently fast, and appropriate impurity
(defect) interactions in one-dimensional solids. We prove the
absolute summability of the trace formula and establish its
connections with scattering quantities, such as reflection
coefficients, in each case.