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

摘要

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