Vector Coherent States on Clifford Algebras
نویسنده
چکیده
The well-known canonical coherent states are expressed as an infinite series in powers of a complex number z and 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.
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