Whirling waves and the Aharonov-Bohm effect for relativistic spinning particles

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1997 EDP Sciences
, , Citation H. O. Girotti and F. Fonseca Romero 1997 EPL 37 165 DOI 10.1209/epl/i1997-00127-x

0295-5075/37/3/165

Abstract

The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential, is solved in a novel way. The same treatment also solves the problem of finding the self-adjoint extensions of the Dirac Hamiltonian in an Aharonov-Casher background.

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10.1209/epl/i1997-00127-x