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arXiv · 2312.11971

Pauli Hamiltonians with an Aharonov-Bohm Flux

William Borrelli·Michele Correggi·Davide Fermi
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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-adjont 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.

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William Borrelli, Michele Correggi, Davide Fermi. 2023-12-19. Pauli Hamiltonians with an Aharonov-Bohm Flux. https://doi.org/10.4171/jst%2F496

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