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Algebraic solution for the vector potential in the Dirac equation

H S Booth·G Legg·P D Jarvis
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Abstract

The Dirac equation for an electron in an external electromagnetic field can be regarded as a singular set of linear equations for the vector potential. Radford's method of algebraically solving for the vector potential is reviewed, with attention to the additional constraints arising from non-maximality of the rank. The extension of the method to general spacetimes is illustrated by examples in diverse dimensions with both $c$- and $a$-number wavefunctions.

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H S Booth, G Legg, P D Jarvis. 2001-04-25. Algebraic solution for the vector potential in the Dirac equation. https://doi.org/10.1088/0305-4470%2F34%2F28%2F304

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