Algebraic solution for the vector potential in the Dirac equation

Details Algebraic solution for the vector potential in the Dirac equation Algebraic solution for the vector potential in the Dirac equation

2001-04-25

arxiv.org/abs/hep-th/0104216v1

J.Phys.A34:5667-5678,2001

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX

Scientific paper

10.1088/0305-4470/34/28/304

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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