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

P. A. Horvathy (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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 Schrödinger's Zitternde Elektron is indicated.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

P. A. Horvathy. Mathisson' spinning electron: noncommutative mechanics & exotic Galilean symmetry, 66 years ago. Acta Physica Polonica B, 2003, 34, pp.2611-2622. ⟨hal-00007554⟩