A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities

J.M. Jauch and E.L. Hill, “On the problem of degeneracy in quantum mechanics”, Phys. Rev

1940

Earlier work this paper cites.

T.I. Fris, V. Mandrosov, Y.A. Smorodinsky, M. Uhlir, and P. Winternitz, “On higher symmetries in quantum mechanics”, Phys. Lett

1965

Earlier work this paper cites.

D.M. Fradkin, “Three-dimensional isotropic harmonic oscillator and SU3”, Amer. J. Phys

1965

Earlier work this paper cites.

N.W. Evans, “Superintegrability of the Smorodinsky-Winternitz system”, Phys. Lett

1990

Earlier work this paper cites.

A.M. Perelomov,

1990

Earlier work this paper cites.

N.W. Evans, “Group theory of the Smorodinsky-Winternitz system”, J. Math. Phys

1991

Cited alongside, same era.

J. Grabowski, G. Landi, G. Marmo, and G. Vilasi, “Generalized reduction procedure: symplectic and Poisson formalism”, Fortschr. Phys

1994

Cited alongside, same era.

M.F. Rañada and M. Santander, “On harmonic oscillators on the two-dimensional sphere

2002

Cited alongside, same era.

M.F. Rañada and M. Santander, “Higher-order superintegrability of a rational oscillator with inversely quadratic nonlinearities: Euclidean and non-Euclidean cases”, in

2004

Cited alongside, same era.

J.F. Cariñena, J. Clemente-Gallardo, and G. Marmo, “Reduction procedures in classical and quantum mechanics”, Int. J. Geom. Methods Mod. Phys

2007

Cited alongside, same era.

E. Pinney, “The nonlinear differential equation

Cited in the paper.

N.W. Evans and P.E. Verrier, “Superintegrability of the caged anisotropic oscillator”, J. Math. Phys

2008

Later among the works it cites.

M.A. Rodríguez, P. Tempesta, and P. Winternitz, “Reduction of superintegrable systems: The anisotropic harmonic oscillator”, Phys. Rev. E

2008

Later among the works it cites.

N.W. Evans and P.E. Verrier, “A new superintegrable Hamiltonian”, J. Math. Phys

2008

Later among the works it cites.

M.A. Rodríguez, P. Tempesta, and P. Winternitz, “Symmetry reduction and superintegrable Hamiltonian systems”, in

2009

Later among the works it cites.

A. Ballesteros and F.J. Herranz, “Maximal superintegrability of the generalized Kepler–Coulomb system on N-dimensional curved spaces”, J. Phys. A

2009

Later among the works it cites.