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Jackson's q-exponential as the exponential of a series
C. Quesne
Jackson's q-exponential is expressed as the exponential of a series whose coefficients are obtained in closed form. Such a relation is used to derive some properties of the q-expon…
Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach
B. Bagchi, C. Quesne
Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for…
Spectrum generating algebra and coherent states of the -extended oscillator
C. Quesne
-extended oscillator algebras, generalizing the Calogero-Vasiliev algebra, where is the cyclic group of order , have recently proved very useful in the context of sup…
-extended oscillator algebras and some of their deformations and applications to quantum mechanics
C. Quesne, N. Vansteenkiste
-extended oscillator algebras generalizing the Calogero-Vasiliev algebra, where is the cyclic group of order , are studied both from mathematical and applied viewpoin…
Algebraic Realization of Supersymmetric Quantum Mechanics for Cyclic Shape Invariant Potentials
C. Quesne, N. Vansteenkiste
We study in detail the spectrum of the bosonic oscillator Hamiltonian associated with the -extended oscillator algebra \algthree, where denotes a cyclic group of order t…