Pauli Hamiltonians with an Aharonov–Bohm flux
William Borrelli
Politecnico di Milano, Milano, ItalyMichele Correggi
Politecnico di Milano, Milano, ItalyDavide Fermi
Politecnico di Milano, Milano, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano, Italy
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Abstract
We study a two-dimensional Pauli operator describing a charged quantum particle with spin moving on a plane in presence of an orthogonal Aharonov–Bohm magnetic flux. We classify all the admissible self-adjoint realizations and give a complete picture of their spectral and scattering properties. Symmetries of the resulting Hamiltonians are also discussed, as well as their connection with the Dirac operator perturbed by an Aharonov–Bohm singularity.
Cite this article
William Borrelli, Michele Correggi, Davide Fermi, Pauli Hamiltonians with an Aharonov–Bohm flux. J. Spectr. Theory 14 (2024), no. 3, pp. 1147–1193
DOI 10.4171/JST/496