Superintegrability and higher order constants for classical and quantum systems

E. G. Kalnins, J. M. Kress, W. Miller, Jr. and G. S. Pogosyan. Completeness of superintegrability in two-dimensional constant curvature spaces

2001

Earlier work this paper cites.

E. G. Kalnins, J. M. Kress, W. Miller Jr., and G. S. Pogosyan. Complete sets of invariants for dynamical systems that admit separation of variables. J. Math. Phys

2002

Earlier work this paper cites.

E. G. Kalnins, J. M. Kress, and W. Miller, Jr. Second order superintegrable systems in conformally flat spaces. II The classical 2D Stäckel transform. J. Math. Phys

2005

Earlier work this paper cites.

C. Daskaloyannis and K. Ypsilantis. Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two dimensional manifold. J. Math. Phys

2006

Cited alongside, same era.

E.G. Kalnins, W. Miller, Jr, and S. Post. Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D. SIGMA

Original

2008

Cited alongside, same era.

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

Original

2008

Cited alongside, same era.

F. Tremblay, A.Turbiner and P. Winternitz. An infinite family of solvable and integrable quantum systems in the plane. J.Phys.A

2009

Closest in time.

F. Tremblay, A. Turbiner and P. Winternitz. Periodic orbits for an infinite family of classical superintegrable systems. archiv0910.0299v(preprint), 2009;

2009

Closest in time.