文档介绍：arXiv:math-ph/0007025 v3 19 Feb 2003
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Contents
1 Part I. 3
The Dirac equation for an electron. . . . . . . . . . . . . . . . 3
The Clifford algebra and the spinor group. . . . . . . . . . . . 5
Secondary generators of the Clifford algebra. . . . . . . . . . . 8
Idempotents, left ideals, and matrix representations of C`(1, 3). 9
A one-to-one correspondence between I(t) and C`C (1, 3). . . . 12
The covariance of the Dirac equation. . . . . . . . . . . . . . . 14
Algebraic bispinors and the Dirac equation. . . . . . . . . . . 15
Hestenes’ form of the Dirac equation. . . . . . . . . . . . . . . 16
The Grassmann-Clifford bialgebra. . . . . . . . . . . . . . . . 18
2 Part II. 18
The exterior algebra of Minkowski space. . . . . . . . . . . . . 18
Operators d, δ, Υ, ∆. . . . . . . . . . . . . . . . . . . . . . . . 21
A tensor form of the Dirac equation. . . . . . . . . . . . . . . 23
Other tensor equations. . . . . . . . . . . . . . . . . . . . . . . 26
Introduction
The Dirac equation for an electron [9] can be written in several differe