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Deformed exterior algebra, Quons and related Coherent States

M. El Baz·Y. Hassouni
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Abstract

We review the notion of the deformation of the exterior wedge product. This allows us to construct the deformation of the algebra of exterior forms over a vector space and also over an arbitrary manifold. We relate this approach to the generalized statistics. we study quons, as a particular case of these generalized statistics. We also give their statistical properties. A large part of the work is devoted to the problem of constructing coherent states for the deformed oscillators. we give a review of all the approaches existing in the literature concerning this point and enforce it with many examples.

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M. El Baz, Y. Hassouni. 2002-09-30. Deformed exterior algebra, Quons and related Coherent States. https://doi.org/10.1142/s0217751x03015386

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