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Coherent state quantization of paragrassmann algebras (1004.4706v3)
Published 27 Apr 2010 in quant-ph, math-ph, and math.MP
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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