Para-Grassmann variables and coherent states

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Abstract

The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators.

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Cabra, D. C., Moreno, E. F., & Tanasǎ, A. (2006). Para-Grassmann variables and coherent states. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2. https://doi.org/10.3842/SIGMA.2006.087

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