Vector Coherent States on Clifford algebras

Details Vector Coherent States on Clifford algebras Vector Coherent States on Clifford algebras

2003-08-18

arxiv.org/abs/math-ph/0308020v2

Physics

Mathematical Physics

10 pages

Scientific paper

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 $\rho(m)=m$. 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 $\rho(m)$ by a real matrix. As examples, we present vector coherent states on quaternions and octonions with their real matrix representations.

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