Solution of the Dirac-Coulomb problem on the half-line with superstrong magnetic field using differential approach
Abstract
We use the iterated Dirac equation to solve for the eigenfunctions and eigenvalues of a Dirac electron subjected to a uniform superstrong magnetic field and a Coulomb potential confined along the magnetic lines of force. It is shown that by choosing the proper gauge the iterated Dirac equation separates into equations familiar from nonrelativistic quantum mechanics.
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Ins-FIRE-ing excellence in physics education and research
23-25 October 2002, Ateneo de Naga University