Thursday, November 15, 2012

1211.3312 (Joseph Désiré Bukweli et al.)

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

Joseph Désiré Bukweli, Mahouton Norbert Hounkonnou
The Heisenberg algebra is deformed with the set of parameters ${q, l,\lambda}$ 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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