Whirling waves and the Aharonov-Bohm effect for relativistic spinning particles
H. O Girotti, F. Fonseca Romero
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.
arXiv:hep-th/9612058•Europhysics Letters (EPL)•Jan 20, 1997•6 citations