73 citations · 499 across the 21 of their papers we have counts for
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math-ph2011★ 26 cited
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegra…
quant-ph2011★ 73 cited
Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The full spectrum and eigenfunctions of the quantum version of a nonlinear oscillator defined on an N-dimensional space with nonconstant curvature are rigorously found. Since the u…