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Annals of Physics

On solutions of Coulomb system and its generalization to the Aharonov–Bohm effect

De‐Hone Lin

Published Sep 7, 2008• 52 citations
Publisher
DOI
10.1016/j.aop.2008.08.007

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The authors establish the exact solution of the Dirac equation for a charged particle moving in the Coulomb field plus Aharonov-Bohm field plus Dirac monopole field by using the equation in two-dimensional complex space. On the basis of the found solution, the relativistic analogy of the Aharonov-Bohm effect for the system of a diogen atom existing in an infinite cylindrical solenoid is studied. In this case the authors obtain some surprising results. One of them is that the Aharonov-Bohm effect is absent for certain states.