The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions

Details The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions

1996-04-16

arxiv.org/abs/hep-th/9604082v1

Mod.Phys.Lett. A12 (1997) 337-346

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex

Scientific paper

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 flux tube. It is shown that the angular part of the Dirac Hamiltonian requires self-adjoint extensions as well as its radial one. The self-adjoint extensions of the angular part are parametrized by 2x2 unitary matrix.

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