Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials

Friš J., Mandrosov V., Smorodinsky Ya.A., Uhlír M., Winternitz P., On higher symmetries in quantum mechanics,

1965

Earlier work this paper cites.

Friš J., Smorodinskii Ya.A., Uhlír M., Winternitz P., Symmetry groups in classical and quantum mechanics,

1967

Earlier work this paper cites.

Koenigs G., Sur les géodésiques a intégrales quadratiques, A note appearing in “Lecons sur la théorie générale des surfaces”, G. Darboux, Vol. 4, Chelsea Publishing, 1972, 368–404

1972

Earlier work this paper cites.

Wojciechowski S., Superintegrability of the Calogero–Moser system,

1983

Earlier work this paper cites.

Hietarinta J., Grammaticos B., Dorizzi B., Ramani A., Coupling-constant metamorphosis and duality between integrable Hamiltonian systems,

1984

Earlier work this paper cites.

Boyer C.P., Kalnins E.G., Miller W. Jr., Stäckel-equivalent integrable Hamiltonian systems,

1986

Earlier work this paper cites.

Evans N.W., Super-integrability of the Winternitz system,

1990

Earlier work this paper cites.

Evans N.W., Superintegrability in classical mechanics,

1991

Earlier work this paper cites.

Bonatos D., Daskaloyannis C., Kokkotas K., Deformed oscillator algebras for two-dimensional quantum superintegrable systems,

1994

Earlier work this paper cites.

Grosche C., Pogosyan G.S., Sissakian A.N., Path integral discussion for Smorodinsky–Winternitz potentials. I. Two- and three-dimensional Euclidean space,

1995

Cited alongside, same era.

Kalnins E.G., Miller W. Jr., Pogosyan G.S., Superintegrability and associated polynomial solutions. Euclidean space and the sphere in two dimensions,

1996

Cited alongside, same era.

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

2001

Cited alongside, same era.

Daskaloyannis C., Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems,

2001

Cited alongside, same era.

Kalnins E.G., Kress J.M., Winternitz P., Superintegrability in a two-dimensional space of non-constant curvature,

2002

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

2006

Later among the works it cites.

Kalnins E.G., Kress J.M., Miller W. Jr., Second order superintegrable systems in conformally flat spaces. V. 2D and 3D quantum systems,

2006

Later among the works it cites.

Kalnins E. G., Miller W. Jr., Post S., Kalnins E.G., Miller W. Jr., Post S., Wilson polynomials and the generic superintegrable system on the 2-sphere,

2007

Later among the works it cites.

Kalnins E.G., Kress J.M., Miller W. Jr., Fine structure for 3D second order superintegrable systems: 3-parameter potentials,

2007

Later among the works it cites.

Kalnins E.G., Miller W. Jr., Post S., Quantum and classical models for quadratic algebras associated with second order superintegrable systems,

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