Whirling waves and the Aharonov-Bohm effect for relativistic spinning particles
Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto
Alegre, RS, Brazil
2 Instituto de Física, Universidade de São Paulo, Caixa Postal 20516, 01452-990 São Paulo, SP, Brazil
Accepted: 12 December 1996
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.
PACS: 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) / 03.65.Pm – Relativistic wave equations
© EDP Sciences, 1997