Vector coherent states and intertwining operators

Abstract

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 eigenstates.

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• Coherent states in magnetized anisotropic 2D Dirac materials
• Weak pseudo-bosons
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Non self-adjoint Hamiltonians with complex eigenvalues
• Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity