127 citations · 1.2k across the 40 of their papers we have counts for
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A quantum exactly solvable non-linear oscillator related with the isotonic oscillator
J. F. Cariñena, A. M. Perelomov, M. F. Rañada +1
A nonpolynomial one-dimensional quantum potential representing an oscillator, that can be considered as placed in the middle between the harmonic oscillator and the isotonic oscill…
The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature
José F. Cariñena, Manuel F. Rañada, Mariano Santander
The harmonic oscillator as a distinguished dynamical system can be defined not only on the Euclidean plane but also on the sphere and on the hyperbolic plane, and more generally on…
The quantum harmonic oscillator on the sphere and the hyperbolic plane
José F. Cariñena, Manuel F. Rañada, Mariano Santander
A nonlinear model of the quantum harmonic oscillator on two-dimensional spaces of constant curvature is exactly solved. This model depends of a parameter $\la$ that is related with…
A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog
José F. Cariñena, Manuel F. Rañada, Mariano Santander
Two super-integrable and super-separable classical systems which can be considered as deformations of the harmonic oscillator and the Smorodinsky-Winternitz in two dimensions are s…