| Автор | F E A dos Santos |
| Автор | J Jayaraman |
| Дата выпуска | 1981-03-01 |
| dc.description | Using for spin-<sup>3</sup>/<sub>2</sub> matrices a direct-product structure involving the usual Pauli spin matrices, the authors derive the Dirac-Clifford matrices in terms of certain algebraic combinations of spin-<sup>3</sup>/<sub>2</sub> matrices in a representation-independent way, thus achieving an extension of the Pauli spin matrices from the usual spin-<sup>1</sup>/<sub>2</sub> space to the spin-<sup>3</sup>/<sub>2</sub> space. Basing the derivation directly on this analysis, two algebras satisfied by spin-<sup>3</sup>/<sub>2</sub> matrices are derived. One of these, which is also satisfied by spin-<sup>1</sup>/<sub>2</sub> matrices, is directly related to the spin-<sup>3</sup>/<sub>2</sub> algebras of Weaver (1978) and of Bhabha and Madhava Rao (for three objects). The other algebra is new and curiously is not satisfied by spin-<sup>1</sup>/<sub>2</sub> matrices. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Some remarkable spin-1/2-like algebraic properties of spin-3/2 matrices |
| Тип | paper |
| DOI | 10.1088/0305-4470/14/3/021 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 14 |
| Первая страница | 745 |
| Последняя страница | 751 |
| Аффилиация | F E A dos Santos; Dept. de Fisica, Univ. Federal de Paraiba, Paraiba, Brazil |
| Аффилиация | J Jayaraman; Dept. de Fisica, Univ. Federal de Paraiba, Paraiba, Brazil |
| Выпуск | 3 |
