Deformed exterior algebra, Quons and related Coherent States

Details Deformed exterior algebra, Quons and related Coherent States Deformed exterior algebra, Quons and related Coherent States

2002-09-30

arxiv.org/abs/math-ph/0209067v1

Int. J. Mod. Phys. A18 (2003) 3015

Physics

Mathematical Physics

28 pages

Scientific paper

10.1142/S0217751X03015386

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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