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arXiv · 0905.2929

Quons, coherent states and intertwining operators

Fabio Bagarello
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Abstract

We propose a differential representation for the operators satisfying the q-mutation relation $BB^\dagger-q B^\dagger B=\1$ which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit $q\to1$. Further, we build up non-linear and Gazeau-Klauder coherent states associated to the free quonic hamiltonian $h_1=B^\dagger B$. Finally we construct almost isospectrals quonic hamiltonians adopting the results on intertwining operators recently proposed by the author.

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Fabio Bagarello. 2009-05-18. Quons, coherent states and intertwining operators. https://doi.org/10.1016/j.physleta.2009.05.037

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