Mathisson自旋电子：非对易力学与奇异伽利略对称性，66年前
高能物理 - 理论
2007-05-23 v4
摘要
由Lukierski、Stichel和Zakrzewski [Ann. Phys. 260, 224 (1997)]提出的具有非对易坐标的加速度依赖系统，被推导为Mathisson经典电子 [Acta Physica Polonica 6, 218 (1937)]的非相对论极限，后者后来由Weyssenhoff和Raabe [Acta Physica Polonica 9, 7 (1947)]进一步讨论。我们恢复了该模型的具有双重中心扩展的伽利略对称性。文中还指出了与薛定谔的Zitternde Elektron的关系。
关键词
引用
@article{arxiv.hep-th/0303099,
title = {Mathisson' spinning electron: noncommutative mechanics & exotic Galilean symmetry, 66 years ago},
author = {P. A. Horvathy},
journal= {arXiv preprint arXiv:hep-th/0303099},
year = {2007}
}
备注
Final version, published in Acta Physica Polonica 34, 2611 (2003). Dedicated to the memory of M. Mathisson, J. Weyssenhoff and A. Raabe, who tried to continue to do research during those terrible years of World War II. Revised version. The relation with Schr\"odinger's Zitternde Elektron indicated, and Dirac's Obituary on Mathisson is added. Latex, no figures. 9 pages