Virtual bound states of the Pauli operator with an Aharonov-Bohm potential
Mathematical Physics
2025-01-30 v1 Analysis of PDEs
math.MP
Spectral Theory
Quantum Physics
Abstract
A maximal realisation of the two-dimensional Pauli operator, subject to Aharonov--Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.
Keywords
Cite
@article{arxiv.2501.17029,
title = {Virtual bound states of the Pauli operator with an Aharonov-Bohm potential},
author = {Marie Fialova and David Krejcirik},
journal= {arXiv preprint arXiv:2501.17029},
year = {2025}
}
Comments
18 pages