Quons, coherent states and intertwining operators

We propose a differential representation for the operators satisfying the q-mutation relation B B \u2020 12 qB \u2020 B = 1 which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit q \u2192 1. Further, we build up non-linear and Gazeau\u2013Klauder coherent states associated to the free quonic Hamiltonian h 1 = B \u2020 B. Finally we construct almost isospectral quonic Hamiltonians adopting the results on intertwining operators recently proposed by the author