Gesztesy F., Holden H., Simon B.
Absolute Summability of the Trace Relation for Certain
Schrodinger Operators
(73K, AMSTeX)

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.