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.
Bagarello, F. (2009). Quons, coherent states and intertwining operators. PHYSICS LETTERS A, 373, 2637-2642 [10.1016/j.physleta.2009.05.037].
Quons, coherent states and intertwining operators
BAGARELLO, Fabio
2009-01-01
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.File | Dimensione | Formato | |
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