Vector coherent states and intertwining operators

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...

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...

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.

Intertwining Operators and Residues

Logarithmic Intertwining Operators and Vertex Operators

This is the first in a series of papers where we study logarithmic intertwining operators for various vertex subalgebras of Heisenberg vertex operator algebras. In this paper we examine logarithmic intertwining operators associated with rank one Heisenberg vertex operator algebra M(1)a, of central charge 1 − 12a . We classify these operators in terms of depth and provide explicit constructions ...