We give a self-contained presentation of the theory of self-adjoint extensions using the
technique of boundary triples. A description of the spectra of self-adjoint extensions in terms …

This work provides an introduction and overview on some basic mathematical aspects of the
single-flux Aharonov-Bohm Schr\" odinger operator. The whole family of admissible self …

We study the Schrödinger operator describing a two-dimensional quantum particle moving
in the presence of N⩾ 1 Aharonov–Bohm magnetic fluxes. We classify all the self-adjont …

We establish that the Pauli operator describing a spin-1/2 two-dimensional quantum system
with a singular magnetic field has, under certain conditions, an infinite-dimensional space of …

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 $\mathbb {R}^ 2$. In this paper we are …

Covariant affine integral quantization is studied and applied to the motion of a particle in a
punctured plane R _*^ 2:= R^ 2 ∖ {0\} R∗ 2:= R 2 {0, for which the phase space is R _*^ 2 …

Abstract 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 R 2. In this paper we …

We consider the magnetic Schrödinger operator on R 2. The magnetic field is the sum of a
homogeneous magnetic field and periodically varying pointlike magnetic fields on a lattice …

Two different self-adjoint Pauli extensions describing a spin-1/2 two-dimensional quantum
system with singular magnetic field are studied. An Aharonov-Casher type formula is proved …

Periodic array of quantum dots in a magnetic field is considered. The magnetic field consists
of two components: uniform and periodic. The periodic field is presented by the Aharonov …