Absolute Summability of the Trace Relation for Certain Schrόdinger Operators
نویسندگان
چکیده
A recently established general trace formula for one-dimensional Schrodinger 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.
منابع مشابه
Absolute Summability of the Trace Relation for Certain Schrödinger Operators
A recently established general trace formula for one-dimensional Schrödinger 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 scat...
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