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.
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页码：5667 / 5677
页数：11
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