Fetching the paper…
Reading the bibliography…
We introduce a new family of Hamiltonians with a deformed Kepler- Coulomb potential dependent on an indexing parameter k.
On higher symmetries in quantum mechanics
I. Fris, V. Mandrosov, Ya. A. Smorodinsky, M. Uhlír, and P. Winternitz · 1965
Earlier work this paper cites.
A systematic search for nonrelativistic systems with dynamical symmetries
A. A. Makarov, J. A. Smorodinsky, Kh. Valiev, and P. Winternitz · 1967
Earlier work this paper cites.
Coupling-constant metamorphosis and duality between integrable Hamiltonian systems
J. Hietarinta, B. Grammaticos, B. Dorizzi, and A. Ramani · 1984
Earlier work this paper cites.
Stäckel - equivalent integrable Hamiltonian systems
C. P. Boyer, E. G. Kalnins, and W. Miller · 1986
Earlier work this paper cites.
Quasi-exactly solvable problems and s l ( 2 ) sl(2) algebra
A. V. Turbiner · 1988
Earlier work this paper cites.
Superintegrability and associated polynomial solutions. Euclidean space and the sphere in two dimensions
E. G. Kalnins, W. Miller Jr., and G. S. Pogosyan · 1996
Earlier work this paper cites.
Classical Mechanics
H. Goldstein, C. P. Poole, and J. L. Safko · 2001
Earlier work this paper cites.
Exact solvability of superintegrable systems
P. Tempesta, V. Turbiner, and P. Winternitz · 2001
Earlier work this paper cites.
A unified treatment of quartic invariants at fixed and arbitrary energy
M. Karlovini, G. Pucacco, K. Rosquist, and L. Samuelsson · 2002
Earlier work this paper cites.
Superintegrability with third-order integrals in quantum and classical mechanic
S. Gravel and P. Winternitz · 2002
Earlier work this paper cites.
Hamiltonians separable in Cartesian coordinates and third-order integrals of motion
S. Gravel · 2004
Cited alongside, same era.
Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two dimensional manifold
C. Daskaloyannis and K. Ypsilantis · 2006
Cited alongside, same era.
Second order superintegrable systems in conformally flat spaces. v. 2d and 3d quantum systems
E. G. Kalnins, J.M. Kress, and W. Miller · 2006
Cited alongside, same era.
Nondegenerate 3d complex Euclidean superintegrable systems and algebraic varieties
E. G. Kalnins, J.M. Kress, and W. Miller · 2007
Cited alongside, same era.
Quantum superintegrable systems with quadratic integrals on a two dimensional manifold
C. Daskaloyannis and Y. Tanoudis · 2007
Cited alongside, same era.
Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion
Ian Marquette · 2009
Later among the works it cites.
An infinite family of solvable and integrable quantum systems on a plane
F. Tremblay, A.V. Turbiner, and P. Winternitz · 2009
Later among the works it cites.
Third order superintegrable systems separating in polar coordinates
F. Tremblay and P. Winternitz · 2010
Closest in time.
Periodic orbits for an infinite family of classical superintegrable systems
F. Tremblay, A. V. Turbiner, and P. Winternitz · 2010
Closest in time.
Superintegrability and higher order constants for classical and quantum systems
E. G. Kalnins, W. Miller Jr., and G. S. Pogosyan · 2010
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
N. W. Evans and P. E. Verrier · 2008
Cited alongside, same era.
A new superintegrable Hamiltonian
P.E. Verrier and N. W. Evans · 2008
Cited alongside, same era.
Reduction of superintegrable systems. The anisotropic harmonic oscillator
M. A. Rodriguez, P. Tempesta, and P. Winternitz · 2008
Cited alongside, same era.
Symmetry reduction and superintegrable Hamiltonian systems
M. A. Rodríguez, P. Tempesta, and P. Winternitz · 2009
Cited alongside, same era.
Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. ii. Painlevé transcendent potentials
Ian Marquette · 2009
Cited alongside, same era.
Thèorème relatif au mouvement d’un point attiré vers un centre fixe
J. Bertrand
Cited in the paper.
C. Quesne · 2010
Closest in time.
Superintegrability and higher order constants for quantum systems
E. G. Kalnins, J. M. Kress, and W. Miller Jr · 2010
Closest in time.
Coupling constant metamorphosis and n n th-order symmetries in classical and quantum mechanice
E. G. Kalnins, W. Miller Jr., and S. Post · 2010
Closest in time.
Families of classical superintegrable systems
E. G. Kalnins, J. M. Kress, and W. Miller Jr · 2010
Closest in time.