Algebraic solution for the vector potential in the Dirac equation
Apr, 200114 pages
Published in:
- J.Phys.A 34 (2001) 5667-5678
e-Print:
- hep-th/0104216 [hep-th]
Report number:
- UTAS-PHYS-01-02
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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 - and -number wavefunctions.Note:
- 14 pages, LaTeX Report-no: University of Tasmania UTAS-PHYS-01-02
- Dirac equation
- dimension: 4
- electromagnetic field: external field
- potential: vector
- space-time
- algebra: Dirac
- algebra: Clifford
- fermion: wave function
- higher-dimensional
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