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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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