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arXiv · 1004.4706

Coherent state quantization of paragrassmann algebras

M. El Baz·R. Fresneda·J. P. Gazeau·Y. Hassouni
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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.

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M. El Baz, R. Fresneda, J. P. Gazeau, Y. Hassouni. 2010-04-27. Coherent state quantization of paragrassmann algebras. https://doi.org/10.1088/1751-8113/43/38/385202

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