Vector Coherent States on Clifford algebras

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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.
10 pages

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Mathematical Physics, 81R30

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http://salesiana.dossiersoluciones.com/handle/123456789/57473

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0308020
 http://arxiv.org/abs/math-ph/0308020

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arXiv