Clifford algebraic spinor and the Dirac wave equations |
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Authors: | Yu Xuegang Zhang Shuna Huang Qiunan |
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Institution: | (1) Institute of Mathematics-physics, Tonghua Teachers’ College, 134002 Tonghua, Jilin, China;(2) Department of Physics, Jilin Education’s College, 130000 Changchun, Jilin, China |
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Abstract: | The hyperbolic complex (HC) space is congruent with Minkowski space time.HC is a special kind of non-Euclidean space with continuous odd-points. The Clifford algebraic spinor and the Dirac wave equation
can be introduced in the hyperbolic complex space. The Clifford algebraic spinor contains eight independent elements and the
Dirac wave equations 64 coefficients. For Dirac particles 4×8 and for antiparticles 4×8 variables which are Hermitian conjugate
to each other (on four dimensional space-time). |
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Keywords: | |
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