2 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
cond-mat.mes-hall2018★ 2 cited
Qualitative analysis of magnetic waveguides for two-dimensional Dirac fermions
Marie Fialová, Vít Jakubský, Matěj Tušek
We focus on the confinement of two-dimensional Dirac fermions within the waveguides created by realistic magnetic fields. Understanding of their band structure is of our main conce…