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Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators
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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.
Title: Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators
Description:
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.
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