94-78 Gesztesy F., Holden H., Simon B.

Absolute Summability of the Trace Relation for Certain Schrodinger Operators (73K, AMSTeX) Mar 30, 94

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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.

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