Quons, coherent states and intertwining operators

Abstract

We propose a differential representation for the operators satisfying the q-mutation relation B B † − 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 h 1 = B † B. Finally we construct almost isospectral quonic Hamiltonians adopting the results on intertwining operators recently proposed by the author.