We study a two-dimensional Pauli operator describing a charged quantum particle with spin 1=2 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.
Pauli Hamiltonians with an Aharonov–Bohm flux / Borrelli, W., Correggi, M., Fermi, D.. - In: JOURNAL OF SPECTRAL THEORY. - ISSN 1664-039X. - 14:3(2024), pp. 1147-1193. [10.4171/jst/496]
Pauli Hamiltonians with an Aharonov–Bohm flux
Borrelli, William;Correggi, Michele;Fermi, Davide
2024
Abstract
We study a two-dimensional Pauli operator describing a charged quantum particle with spin 1=2 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.| File | Dimensione | Formato | |
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