Calculus of Variations and Geometric Measure Theory

W. Borrelli - M. Correggi - D. Fermi

Pauli Hamiltonians with an Aharonov-Bohm flux

created by borrelli on 20 Dec 2023
modified on 02 Mar 2024

[BibTeX]

Accepted Paper

Inserted: 20 dec 2023
Last Updated: 2 mar 2024

Journal: J. Spectr. Theory
Pages: 30
Year: 2024

ArXiv: 2312.11971 PDF

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.