Quons, coherent states and intertwining operators

Abstract

We propose a differential representation for the operators satisfying the q-mutation relation $BB^\dagger-q B^\dagger B=\1$ which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit $q\to 1$. 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 isospectrals quonic hamiltonians adopting the results on intertwining operators recently proposed by the author.

Physics Letters A, in press

References in corpus (3)

• Coherent states for Hamiltonians generated by supersymmetry
• Intertwining operators between different Hilbert spaces: connection with frames
• Vector coherent states and intertwining operators

Cited by in corpus (10)

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• On the non-classicality features of new classes of nonlinear coherent states
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• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Generalized Heisenberg algebra and (non linear) pseudo-bosons
• Non self-adjoint Hamiltonians with complex eigenvalues
• Abstract ladder operators and their applications
• Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity