Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators
arXiv:2006.09056 · doi:10.1063/5.0018933
Abstract
We study the Hamiltonian describing two anyons moving in a plane in presence of an external magnetic field and identify a one-parameter family of self-adjoint realizations of the corresponding Schrödinger operator. We also discuss the associated model describing a quantum particle immersed in a magnetic field with a local Aharonov-Bohm singularity. For a special class of magnetic potentials, we provide a complete classification of all possible self-adjoint extensions.
28 pages, final version, to appear in J. Math. Phys., pdfLaTex