Levinson's theorem and higher degree traces for Aharonov-Bohm operators
Levinson's theorem and higher degree traces for Aharonov-Bohm operators
We study Levinson-type theorems for the family of Aharonov-Bohm models from different perspectives. The first one is purely analytical involving the explicit calculation of the wave-operators and allowing to determine precisely the various contributions to the left hand side of Levinson's theorem, namely, those due to the scattering operator, the …