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arxiv: 1004.4706 · v3 · pith:W54UPUZYnew · submitted 2010-04-27 · 🪐 quant-ph · math-ph· math.MP

Coherent state quantization of paragrassmann algebras

classification 🪐 quant-ph math-phmath.MP
keywords algebracoherentparagrassmannfiniteoperatorsquantizationstatealgebras
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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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