Clifford algebra as quantum language

被引:18
|
作者
Baugh, J [1 ]
Finkelstein, DR
Galiautdinov, A
Saller, H
机构
[1] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA
[2] Max Planck Inst Phys, Werner Heisenberg Inst, D-80805 Munich, Germany
关键词
D O I
10.1063/1.1353183
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We suggest Clifford algebra as a useful simplifying language for present quantum dynamics. Clifford algebras arise from representations of the permutation groups as they arise from representations of the rotation groups. Aggregates using such representations for their permutations obey Clifford statistics. The vectors supporting the Clifford algebras of permutations and rotations are plexors and spinors, respectively. Physical spinors may actually be plexors describing quantum ensembles, not simple individuals. We use Clifford statistics to define quantum fields on a quantum space-time, and to formulate a quantum dynamics-field-space-time unity that evades the compactification problem. The quantum bits of history regarded as a quantum computation seem to obey a Clifford statistics. (C) 2001 American Institute of Physics.
引用
收藏
页码:1489 / 1500
页数:12
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