The Dirac Hamiltonian in an Aharonov - Bohm gauge field and its self - adjoint extensions Kazuhiko ODAKA ∗ and Kazuya SATOH
نویسنده
چکیده
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 a 2 × 2 unitary matrix. ∗e-mail address: [email protected]
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