Mathisson' spinning electron: noncommutative mechanics & exotic Galilean symmetry, 66 years ago

Details Mathisson' spinning electron: noncommutative mechanics & exotic Galilean symmetry, 66 years ago Mathisson' spinning electron: noncommutative mechanics & exotic Galilean symmetry, 66 years ago

2003-03-11

arxiv.org/abs/hep-th/0303099v4

Acta Phys.Polon. B34 (2003) 2611-2622

Physics

High Energy Physics

High Energy Physics - Theory

Final version, published in Acta Physica Polonica 34, 2611 (2003). Dedicated to the memory of M. Mathisson, J. Weyssenhoff and

Scientific paper

The acceleration-dependent system with noncommuting coordinates, proposed by Lukierski, Stichel and Zakrzewski [Ann. Phys. 260, 224 (1997)] is derived as the non-relativistic limit of Mathisson's classical electron [Acta Physica Polonica 6, 218 (1937)], further discussed by Weyssenhoff and Raabe [Acta Physica Polonica 9, 7 (1947)]. The two-parameter centrally extended Galilean symmetry of the model is recoved using elementary methods. The relation to Schr\"odinger's Zitternde Elektron is indicated.

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