The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions
High Energy Physics - Theory
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9604082,
title = {The Hamiltonian in an Aharonov-Bohm gauge field and its self-adjoint extensions},
author = {Kazuhiko Odaka and Kazuya Satoh},
journal= {arXiv preprint arXiv:hep-th/9604082},
year = {2015}
}
Comments
10 pages, latex