259 citations · 3.2k across the 85 of their papers we have counts for
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math-ph2014★ 13 cited
An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates
C. Quesne
A simple derivation of the classical solutions of a nonlinear model describing a harmonic oscillator on the sphere and the hyperbolic plane is presented in polar coordinates. These…
math-ph2014★ 33 cited
Combined state-adding and state-deleting approaches to type III multi-step rationally-extended potentials: applications to ladder operators and superintegrability
Ian Marquette, Christiane Quesne
Type III multi-step rationally-extended harmonic oscillator and radial harmonic oscillator potentials, characterized by a set of integers , , \ldots, , such that…