Vector Coherent States on Clifford algebras
| dc.creator | Thirulogasanthar, K. | |
| dc.creator | Hohoueto, A. L. | |
| dc.date | 2003-08-18 | |
| dc.date | 2003-08-25 | |
| dc.date.accessioned | 2026-07-07T04:30:27Z | |
| dc.date.available | 2026-07-07T04:30:27Z | |
| dc.description | The well-known canonical coherent states are expressed as an infinite series in powers of a complex number $z$ together with a positive sequence of real numbers $ρ(m)=m$. In this article, in analogy with the canonical coherent states, we present a class of vector coherent states by replacing the complex variable $z$ by a real Clifford matrix. We also present another class of vector coherent states by simultaneously replacing $z$ by a real Clifford matrix and $ρ(m)$ by a real matrix. As examples, we present vector coherent states on quaternions and octonions with their real matrix representations. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0308020 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0308020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57473 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81R30 | |
| dc.title | Vector Coherent States on Clifford algebras | |
| dc.type | text |