We study the Schrödinger operator describing a two-dimensional quantum particle moving in the presence of N⩾1 Aharonov–Bohm magnetic fluxes. We classify all the self-adjont realizations of such an operator, providing an explicit characterization of their domains and actions. Moreover, we examine their spectral and scattering properties, proving in particular the existence and completeness of wave operators in relation with the free dynamics.
Schrödinger Operators with Multiple Aharonov–Bohm Fluxes
Correggi, Michele;Fermi, Davide
2024-01-01
Abstract
We study the Schrödinger operator describing a two-dimensional quantum particle moving in the presence of N⩾1 Aharonov–Bohm magnetic fluxes. We classify all the self-adjont realizations of such an operator, providing an explicit characterization of their domains and actions. Moreover, we examine their spectral and scattering properties, proving in particular the existence and completeness of wave operators in relation with the free dynamics.File in questo prodotto:
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