Coherent state quantization of paragrassmann algebras

Physics – Quantum Physics

Scientific paper

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We provide an erratum where we improve upon our previous definition of odd paragrassmann algebras

Scientific paper

10.1088/1751-8113/43/38/385202

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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