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arxiv: math-ph/0409038 · v1 · submitted 2004-09-17 · 🧮 math-ph · math.MP

On the construction of generalized Grassmann representatives of state vectors

classification 🧮 math-ph math.MP
keywords generalizedgrassmannrepresentativesstatestatesusedvectorsbiedenharn
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Generalized $Z_k$-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors.

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