The Poincare mass operator in terms of a hyperbolic algebra

被引:19
作者
Ulrych, S
机构
[1] CH-8053 Zürich
关键词
D O I
10.1016/j.physletb.2005.03.011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Poincare mass operator can be represented in terms of a Cl(3, 0) Clifford algebra. With this representation the quadratic Dirac equation and the Maxwell equations can be derived from the same mathematical structure. (c) 2005 Elsevier B.V. All rights reserved.
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页码:89 / 91
页数:3
相关论文
共 16 条
[1]  
[Anonymous], 1998, ADV APPL CLIFFORD AL
[2]  
Baylis W.E., 1999, ELECTRODYNAMICS MODE
[3]  
BAYLIS WE, 1989, J PHYS A-MATH GEN, V22, P1, DOI 10.1016/0920-5632(89)90417-9
[4]   EXTENDING SPECIAL RELATIVITY VIA THE PERPLEX NUMBERS [J].
FJELSTAD, P .
AMERICAN JOURNAL OF PHYSICS, 1986, 54 (05) :416-422
[5]  
Fjelstad P., 1998, Adv. Appl. Clifford Algebr, V8, P47, DOI [10.1007/BF03041925, DOI 10.1007/BF03041925]
[6]   Spacetime physics with geometric algebra [J].
Hestenes, D .
AMERICAN JOURNAL OF PHYSICS, 2003, 71 (07) :691-714
[7]  
HESTENES D, 1991, ADV APPL CLIFFORD AL, V1, P51
[8]   HYPERBOLIC COMPLEX STRUCTURES IN PHYSICS [J].
HUCKS, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (12) :5986-6008
[9]  
Keller J., 1994, ADV APPL CLIFFORD AL, V4, P1
[10]   Hyperbolic euler formula in the n-dimensional Minkowski space [J].
Li Wuming .
Advances in Applied Clifford Algebras, 2002, 12 (1) :7-11