Aharonov-Bohm effect for a relativistic Dirac electron

R. Gianvittorio, Umberto Percoco, Vı́ctor M. Villalba

Zachary Kertzman, A. Petridis

Adam Caprez, Herman Batelaan

A. Petridis, Zachary Kertzman, Khinlay Win

The relativistic Aharonov-Bohm (AB) effect is studied using the time-dependent Dirac equation. It is shown that if the initial electron distribution is a pulse it is possible to define time-dependent signals that distinguish the AB effect from dipole and induced Coulomb interactions.

Francisco Vera, Ivan A. Schmidt

Conservation of helicity is applied to the scattering of relativistic electrons by an infinitely long solenoid of arbitrarily small radius (Aharonov-Bohm scattering). It is also shown that the Born approximation, which fails when applied to Aharonov-Bohm scattering in the Schr\"odinger equation formalism, gives correct results in the case of the Dirac equation.

M. Gomes, J. M. C. Malbouisson, A. J. da Silva