Algebraic solution for the vector potential in the Dirac equation

H. S. Booth; G. Legg; P. D. Jarvis

doi:10.1088/0305-4470/34/28/304

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 journal › Article › peer-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 language	English
Pages (from-to)	5667-5677
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	28
DOIs	https://doi.org/10.1088/0305-4470/34/28/304
Publication status	Published - 20 Jul 2001
Externally published	Yes

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title = "Algebraic solution for the vector potential in the Dirac equation",

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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AU - Jarvis, P. D.

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N2 - 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.

AB - 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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U2 - 10.1088/0305-4470/34/28/304

DO - 10.1088/0305-4470/34/28/304

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JF - Journal of Physics A: Mathematical and General

IS - 28

ER -

Algebraic solution for the vector potential in the Dirac equation

Abstract

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