Algebraic solution for the vector potential in the Dirac equation

Authors
Booth, HS Legg, G Jarvis, PD
Citation
Hs. Booth et al., Algebraic solution for the vector potential in the Dirac equation, J PHYS A, 34(28), 2001, pp. 5667-5677
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
28
Year of publication
2001
Pages
5667 - 5677
Database
ISI
SICI code
0305-4470(20010720)34:28<5667:ASFTVP>2.0.ZU;2-V
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 rev iewed, with attention to the additional constraints arising from non-maxima lity of the rank. The extension of the method to general spacetimes is illu strated by examples in diverse dimensions with both c- and a-number wavefun ctions.