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Coherent state quantization of paragrassmann algebras

By M. El Baz, R. Fresneda, J.-P. Gazeau and Y. Hassouni

Abstract

We provide an erratum where we improve upon our previous definition of odd paragrassmann algebrasInternational audienceBy 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 leads to interesting conclusions

Topics: [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph], [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph], [ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]
Publisher: IOP Publishing
Year: 2010
DOI identifier: 10.1088/1751-8113
OAI identifier: oai:HAL:hal-00739322v1
Provided by: Hal-Diderot
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