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

2012/11/14 by Joseph Désiré Bukweli, Bukweli, Joseph Désiré, Mahouton Norbert Hounkonnou +1 · 1 citation
Mathematics · Physics and Astronomy · #20G05 #20G45 #45Q05 #81R30 #81R60 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:20G05 #msc:20G45 #msc:45Q05 #msc:81R30 #msc:81R60

paper · pdf · doi:10.48550/arxiv.1211.3312

arxiv created 2012/11/14 · arxiv updated 2012/11/15

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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• Quantum deformed algebras : Coherent states and special functions

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