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math-ph2025
Virtual bound states of the Pauli operator with an Aharonov-Bohm potential
Marie Fialova, David Krejcirik
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 magn…
math-ph2023★ 1 cited
Aharonov-Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition
Marie Fialová
The Aharonov-Casher theorem is a result on the number of the so-called zero modes of a system described by the magnetic Pauli operator in . In this paper we address t…