Quons, coherent states and intertwining operators

Quons, coherent states and intertwining operators

We propose a differential representation for the operators satisfying the q-mutation relation BB† − q B†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 isospectrals quonic ham...

Vector coherent states and intertwining operators

In this paper we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to built up examples of isospectral hamiltonians. For that we use a general strategy recently proposed by the author and which extends well known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral hamiltonians with related eigen...

Extended SUSY quantum mechanics, intertwining operators and coherent states

We propose an extension of supersymmetric quantum mechanics which produces a family of isospectral hamiltonians. Our procedure slightly extends the idea of intertwining operators. Several examples of the construction are given. Further, we show how to build up vector coherent states of the Gazeau-Klauder type associated to our hamiltonians.

Deformed quons and bi-coherent states

We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This deformation involves interesting mathematical problems and suggests possible applications to pseudo-hermitian quantum mechanics. We construct bi-coherent states a...

Intertwining Operators and Residues