Coherent state quantization of paragrassmann algebras
Quantum Physics
2012-01-04 v3 Mathematical Physics
math.MP
Abstract
By using a coherent state quantization of paragrassmann variables, operators are constructed in finite Hilbert spaces. We thus obtain in a straightforward way a matrix representation of the paragrassmann algebra. This algebra of finite matrices realizes a deformed Weyl-Heisenberg algebra. The study of mean values in coherent states of some of these operators lead to interesting conclusions.
Cite
@article{arxiv.1004.4706,
title = {Coherent state quantization of paragrassmann algebras},
author = {M. El Baz and R. Fresneda and J. P. Gazeau and Y. Hassouni},
journal= {arXiv preprint arXiv:1004.4706},
year = {2012}
}
Comments
We provide an erratum where we improve upon our previous definition of odd paragrassmann algebras