广义菲耶兹恒等式与几何多旋量的超选择定则
广义相对论与量子宇宙学
2009-09-25 v2 高能物理 - 理论
摘要
从可观测的二次密度重构一般多矢量波函数的逆问题在3D几何代数中得到了解决。发现必须考虑作用于波函数右侧的算子，并且标准的菲耶兹恒等式不一定成立，除非在受限情况下，这对应于自旋-同位旋超选择定则。Greider幂等元和Hestenes四元数旋量作为单一超选择参数的极端情况被包括在内。
引用
@article{arxiv.gr-qc/9211018,
title = {Generalized Fierz Identities and the Superselection Rule for Geometric Multispinors},
author = {William M. Pezzaglia},
journal= {arXiv preprint arXiv:gr-qc/9211018},
year = {2009}
}
备注
7 pages, Eliminated use of non-standard LaTeX macros, a square root of \rho added in last line of paragraph below equation 2, updated reference and address. Paper is summary of conference presentation, slides available at http://www.clifford.org/wpezzag/talk/92wroclaw/