We study the Hamiltonian describing two anyons moving in a plane in the 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.
Correggi, M., Fermi, D. (2021). Magnetic perturbations of anyonic and Aharonov-Bohm Schrödinger operators. JOURNAL OF MATHEMATICAL PHYSICS, 62(3), 032101 [10.1063/5.0018933].
Magnetic perturbations of anyonic and Aharonov-Bohm Schrödinger operators
Correggi M.;Fermi D.
2021-01-01
Abstract
We study the Hamiltonian describing two anyons moving in a plane in the 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
