|
This article is cited in 1 scientific paper (total in 1 paper)
Vector coherent states on Clifford algebras
K. Thirulogasanthar, A. L. Hohouéto Concordia University, Department of Mathematics and Statistics
Abstract:
The well-known canonical coherent states are expressed as infinite series in powers of a complex number $z$ and a positive integer $\rho(m)=m!$. In analogy with the canonical coherent states, we present a class of vector coherent states by replacing the complex variable $z$ with a real Clifford matrix. We also present another class of vector coherent states by simultaneously replacing $z$ with a real Clifford matrix and $\rho(m)$ with a real matrix. As examples, we present vector coherent states labeled by quaternions and octonions with their real matrix representations. We also present a physical example.
Keywords:
vector coherent states, Clifford algebras, quaternions, octonions.
Received: 28.11.2003 Revised: 29.03.2004
Citation:
K. Thirulogasanthar, A. L. Hohouéto, “Vector coherent states on Clifford algebras”, TMF, 143:1 (2005), 9–21; Theoret. and Math. Phys., 143:1 (2005), 494–504
Linking options:
https://www.mathnet.ru/eng/tmf1800https://doi.org/10.4213/tmf1800 https://www.mathnet.ru/eng/tmf/v143/i1/p9
|
Statistics & downloads: |
Abstract page: | 343 | Full-text PDF : | 174 | References: | 32 | First page: | 1 |
|