Whirling Waves and the Aharonov-Bohm Effect for Relativistic Spinning Particles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1209/epl/i1997-00127-x

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 a background Aharonov-Casher.

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