Quons, coherent states and intertwining operators

We propose a differential representation for the operators satisfying the q-mutation relation BB†−qB†B=1 which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit q→1. Further, we build up non-linear and Gazeau-Klauder coherent states associated to the free quonic Hamiltonian h1=B†B. Finally we construct almost isospectral quonic Hamiltonians adopting the results on intertwining operators recently proposed by the author.