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

页码：5667 / 5677

页数：11

共 50 条

[41] Solution of the Dirac Equation for Ring-Shaped Modified Kratzer Potential
CHENG Yan-Fu DAI Tong-Qing College of Electronics and Information Engineering
Communications in Theoretical Physics, 2007, 48 (09) : 431 - 434
[42] Solution of the one-dimensional Dirac equation with a linear scalar potential
Hiller, JR
AMERICAN JOURNAL OF PHYSICS, 2002, 70 (05) : 522 - 524
[43] SOLUTION OF DIRAC EQUATION WITH A PERIODIC POTENTIAL AND A UNIFORM MAGNETIC-FIELD
SCHMIDBURGK, J
GAIL, HP
PHYSICS LETTERS A, 1974, A 48 (03) : 209 - 210
[44] Solution of the dirac equation for ring-shaped modified kratzer potential
Cheng Yan-Fu
Dai Tong-Qing
COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 48 (03) : 431 - 434
[45] Exact solution to the one-dimensional Dirac equation of linear potential
Long Chao-Yun
Qin Shui-Jie
CHINESE PHYSICS, 2007, 16 (04): : 897 - 900
[46] Bound state solution of the Dirac equation for a new anharmonic oscillator potential
Wei, Gao-Feng
Long, Chao-Yun
He, Zhi
Qin, Shui-Jie
Zhao, Jing
PHYSICA SCRIPTA, 2007, 76 (05) : 442 - 444
[47] Solution of the Dirac equation with exponential-type potential under the GUP
Deng, Lin-Fang
Zhang, He-Yao
Long, Chao-Yun
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2021, 36 (01):
[48] A SIMPLE ANALYTIC SOLUTION OF THE DIRAC-EQUATION WITH A SCALAR LINEAR POTENTIAL
ABE, S
FUJITA, T
NUCLEAR PHYSICS A, 1987, 475 (04) : 657 - 662
[49] Pseudospin symmetry solution of the Dirac equation with an angle-dependent potential
Berkdemir, Cueneyt
Sever, Ramazan
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (04)
[50] Vector representation of interacting Dirac equation
Piña, E
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2001, 40 (01) : 211 - 217

← 1 2 3 4 5 →