Relativistic Equations in External Fields
A general method to find exact non-relativistic equivalent problems for a large class of potential-interactions in Dirac-like Hamiltonians is presented. The included interactions are the supersymmetric ones and “large” projected non-supersymmetric interactions. The identification of the corresponding Lorentz structure for the Dirac equation in 3 + 1, 4 + 1 and 2 + 1 space-time dimensions is performed. A general outline of previous relevant works is presented.
KeywordsRelativistic Equation External Field Dirac Equation Anomalous Magnetic Moment Quantum Hall Effect
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