Absolute Summability of the Trace Relation for Certain Schrödinger Operators
نویسندگان
چکیده
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 scattering quantities, such as reflection coefficients, in each case. §
منابع مشابه
Absolute Summability of the Trace Relation for Certain Schrόdinger Operators
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 scat...
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