Algebraic solution for the vector potential in the Dirac equation

H. S. Booth*, G. Legg, P. D. Jarvis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)5667-5677
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number28
DOIs
Publication statusPublished - 20 Jul 2001
Externally publishedYes

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