Lagrangian formalism for nonlinear second-order Riccati systems: one-dimensional integrability and two-dimensional superintegrability JF Carinena, MF Ranada, M Santander Journal of mathematical physics 46 (6), 2005 | 138 | 2005 |
A non-linear oscillator with quasi-harmonic behaviour: two-and n-dimensional oscillators JF Carinena, MF Ranada, M Santander, M Senthilvelan Nonlinearity 17 (5), 1941, 2004 | 135 | 2004 |
Superintegrable systems on the two-dimensional sphere and the hyperbolic plane MF Rañada, M Santander Journal of Mathematical Physics 40 (10), 5026-5057, 1999 | 132 | 1999 |
Superintegrable n= 2 systems, quadratic constants of motion, and potentials of Drach MF Rañada Journal of Mathematical Physics 38 (8), 4165-4178, 1997 | 128 | 1997 |
A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour JF Cariñena, MF Ranada, M Santander Annals of Physics 322 (2), 434-459, 2007 | 127 | 2007 |
Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2 JF Cariñena, MF Rañada, M Santander Journal of Mathematical Physics 46 (5), 2005 | 124 | 2005 |
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator JF Carinena, AM Perelomov, MF Ranada, M Santander Journal of Physics A: Mathematical and Theoretical 41 (8), 085301, 2008 | 117 | 2008 |
One-dimensional model of a quantum nonlinear harmonic oscillator JF Cariñena, MF Ranada, M Santander Reports on Mathematical Physics 54 (2), 285-293, 2004 | 106 | 2004 |
Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers JF Carinena, MF Ranada Journal of Physics A: Mathematical and General 26 (6), 1335, 1993 | 94 | 1993 |
The quantum harmonic oscillator on the sphere and the hyperbolic plane JF Cariñena, MF Ranada, M Santander Annals of Physics 322 (10), 2249-2278, 2007 | 76 | 2007 |
Superintegrability of the Calogero–Moser system: constants of motion, master symmetries, and time-dependent symmetries MF Rañada Journal of Mathematical Physics 40 (1), 236-247, 1999 | 70 | 1999 |
On harmonic oscillators on the two-dimensional sphere and the hyperbolic plane MF Rañada, M Santander Journal of Mathematical Physics 43 (1), 431-451, 2002 | 60 | 2002 |
Related operators and exact solutions of Schrödinger equations JF Carinena, G Marmo, AM Perelomov, MF Ranada International Journal of Modern Physics A 13 (28), 4913-4929, 1998 | 56 | 1998 |
Recent applications of the theory of Lie systems in Ermakov systems JF Cariñena, J De Lucas, MF Rañada SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4, 031, 2008 | 53 | 2008 |
Classical electrodynamics of a nonlinear Dirac field with anomalous magnetic moment AF Ranada, MF Ranada, M Soler, L Vazquez Physical Review D 10 (2), 517, 1974 | 47 | 1974 |
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach JF Carinena, MF Ranada, M Santander Journal of mathematical physics 52 (7), 2011 | 38 | 2011 |
Higher order superintegrability of separable potentials with a new approach to the Post–Winternitz system MF Ranada Journal of Physics A: Mathematical and Theoretical 46 (12), 125206, 2013 | 37 | 2013 |
Dynamical symmetries, non-Cartan symmetries and superintegrability of the n-dimensional harmonic oscillator C López, E Martínez, MF Ranada Journal of Physics A: Mathematical and General 32 (7), 1241, 1999 | 37 | 1999 |
Geometric Lagrangian approach to first‐order systems and applications JF Cariñena, C López, MF Rañada Journal of mathematical physics 29 (5), 1134-1142, 1988 | 36 | 1988 |
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces JF Carinena, MF Ranada, M Santander Journal of Physics A: Mathematical and Theoretical 45 (26), 265303, 2012 | 34 | 2012 |