Bosonic symmetries of the Dirac equation

被引:25
|
作者
Simulik, V. M. [1 ]
Krivsky, I. Yu [1 ]
机构
[1] Natl Acad Sci Ukraine, Inst Electron Phys, UA-88000 Uzhgorod, Ukraine
关键词
ELECTROMAGNETIC-FIELD; MAXWELL EQUATIONS; WAVE-EQUATIONS; QUANTIZATION; ELECTRON;
D O I
10.1016/j.physleta.2011.03.058
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have found on the basis of the symmetry analysis of the standard Dirac equation with nonzero mass the new physically meaningful features of this equation. The new bosonic symmetries of the Dirac equation in both the Foldy-Wouthuysen and the Pauli-Dirac representations are found, among which (together with the 32-dimensional pure matrix algebra of invariance) the new spin s = (1, 0) multiplet Poincare symmetry is proved. In order to carry out the corresponding proofs a 64-dimensional extended real Clifford-Dirac algebra is put into consideration. (C) 2011 Published by Elsevier B.V.
引用
收藏
页码:2479 / 2483
页数:5
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