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arXiv · hep-th/9604082

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

Kazuhiko Odaka·Kazuya Satoh
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Abstract

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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Kazuhiko Odaka, Kazuya Satoh. 1996-04-16. The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions. https://doi.org/10.1142/s0217732397000340

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