Pauli Hamiltonians with an Aharonov-Bohm Flux
Mathematical Physics
2025-01-03 v4 Analysis of PDEs
math.MP
Spectral Theory
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-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.
Keywords
Cite
@article{arxiv.2312.11971,
title = {Pauli Hamiltonians with an Aharonov-Bohm Flux},
author = {William Borrelli and Michele Correggi and Davide Fermi},
journal= {arXiv preprint arXiv:2312.11971},
year = {2025}
}
Comments
33 pages, pdfLaTeX, slightly enlarged and updated with respect to the previous version, to appear in J. Spectr. Theory. Prop. 2.26 corrected and Remark 2.27 added. Additional minor modifications