Relativistic quantum physics with hyperbolic numbers

被引：46
作者：
Ulrych, S
机构：
[1] CH-8053 Zürich
来源：
PHYSICS LETTERS B | 2005年 / 625卷 / 3-4期
关键词：
D O I：
10.1016/j.physletb.2005.08.072
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A representation of the quadratic Dirac equation and the Maxwell equations in terms of the three-dimensional universal complex Clifford algebra (C) over bar (3,0) is given. The investigation considers a subset of the full algebra, which is isomorphic to the Baylis algebra. The approach is based on the two Casimir operators of the Poincare group, the mass operator and the spin operator, which is related to the Pauli-Lubanski vector. The extension to spherical symmetries is discussed briefly. The structural difference to the Baylis algebra appears in the shape of the hyperbolic unit, which plays an integral part in this formalism. (c) 2005 Elsevier B.V All rights reserved.
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收藏
页码：313 / 323
页数：11
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