259 citations · 3.2k across the 85 of their papers we have counts for
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math-ph2000
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…
math-ph2000★ 192 cited
sl(2, C) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
B. Bagchi, C. Quesne
The powerful group theoretical formalism of potential algebras is extended to non-Hermitian Hamiltonians with real eigenvalues by complexifying so(2,1), thereby getting the complex…
math-ph2000
-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…