ArTS Archivio della ricerca di Trieste
ArTS è il sistema di gestione integrata dei dati della ricerca adottato dall' Università degli Studi di Trieste
EnglishWe investigate the relations between spinors and null vectors in Clifford algebra of any dimension with particular emphasis on the con- ditions that a spinor must satisfy to be simple (also: pure). In partic- ular we prove: i) a new property for null vectors: each of them bisects spinor space into two subspaces of equal size; ii) that simple spinors form one-dimensional subspaces of spinor space; iii) a necessary and sufficient condition for a spinor to be simple that generalizes a theorem of Cartan and Chevalley which becomes a corollary of this result. We also show how to write down easily the most general spinor with a given associated totally null plane.
| Titolo: | On Spinors and Null Vectors |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| Abstract: | We investigate the relations between spinors and null vectors in Clifford algebra of any dimension with particular emphasis on the con- ditions that a spinor must satisfy to be simple (also: pure). In partic- ular we prove: i) a new property for null vectors: each of them bisects spinor space into two subspaces of equal size; ii) that simple spinors form one-dimensional subspaces of spinor space; iii) a necessary and sufficient condition for a spinor to be simple that generalizes a theorem of Cartan and Chevalley which becomes a corollary of this result. We also show how to write down easily the most general spinor with a given associated totally null plane. |
| Handle: | http://hdl.handle.net/11368/2722493 |
| Digital Object Identifier (DOI): | 10.1088/1751-8113/47/11/115201 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
http://hdl.handle.net/11368/2722493
