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arXiv · 1211.3312

$(q;l,λ)$-deformed Heisenberg algebra: coherent states, their statistics and geometry

Joseph Désiré Bukweli·Mahouton Norbert Hounkonnou
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Abstract

The Heisenberg algebra is deformed with the set of parameters ${q, l,λ}$ to generate a new family of generalized coherent states respecting the Klauder criteria. In this framework, the matrix elements of relevant operators are exactly computed. Then, a proof on the sub-Poissonian character of the statistics of the main deformed states is provided. This property is used to determine the induced generalized metric.

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Joseph Désiré Bukweli, Mahouton Norbert Hounkonnou. 2012-11-14. $(q;l,λ)$-deformed Heisenberg algebra: coherent states, their statistics and geometry. https://arxiv.org/abs/1211.3312

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