THE DIRAC-HAMILTONIAN IN AN AHARONOV-BOHM GAUGE FIELD AND ITS SELF-ADJOINT EXTENSIONS

摘要

By using the spherical coordinates in (3 + 1) dimensions we study the self-adjointness of the Dirac-Hamiltonian in an Aharonov-Bohm gauge field of an infinitely thin magnetic fluxtube. It is shown that the angular part of the Dirac-Hamiltonian requires self-adjoint extensions. These self-adjoint extensions are parametrized by a 2 x 2 unitary matrix. [References: 13]