Algebraic solution for the vector potential in the Dirac equation

被引：12

作者：

Booth, HS ^{[1
]}

Legg, G

Jarvis, PD

机构：

[1] Univ Tasmania, Sch Math & Phys, Hobart, Tas 7001, Australia

[2] Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 28期

关键词：

D O I：

10.1088/0305-4470/34/28/304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

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页码：5667 / 5677

页数：11

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