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We develop our method to prove quantum superintegrability of an integrable 2D system, based on recurrence relations obeyed by the eigenfunctions of the system with respect to separable coordinates.
Tremblay F., Winternitz P., Third-order superintegrable systems separating in polar coordinates,
1989
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Andrews G.E., Askey R., Roy R., Special functions,
1999
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Kalnins E.G., Kress J.M., Pogosyan G.S., Miller W. Jr., Completeness of superintegrability in two-dimensional constant-curvature spaces,
2001
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Tempesta P., Winternitz P., Harnad J., Miller W., Pogosyan G., Rodriguez M. (Editors), Superintegrability in classical and quantum systems (September 16–21, 2002 Montreal, Canada),
2004
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Kalnins E.G., Kress J.M., Miller W. Jr., Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory,
2005
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Kalnins E.G., Kress J.M., Miller W. Jr., Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems,
2006
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Daskaloyannis C., Ypsilantis K., Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two dimensional manifold,
2006
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Kalnins E.G., Miller W. Jr., Pogosyan G.S., Exact and quasi-exact solvability of second-order superintegrable quantum systems. I. Euclidean space preliminaries,
2006
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2007
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Kalnins E.G., Miller W. Jr., Post S., Wilson polynomials and the generic superintegrable system on the 2-sphere,
2007
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Eastwood M., Miller W. (Editors), Symmetries and overdetermined systems of partial differential equations (July 17 – August 4, 2006, Minneapolis, MN),
2008
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2008
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Chanu C., Degiovanni L., Rastelli G., Superintegrable three-body systems on the line,
2008
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2010
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Post S., Winternitz P., An infinite family of superintegrable deformations of the Coulomb potential,
2010
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Kalnins E.G., Miller W. Jr., Post S., Coupling constant metamorphosis and
2010
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2008
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Verrier P.E., Evans N.W., A new superintegrable Hamiltonian,
2008
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Tremblay F., Turbiner V.A., Winternitz P., An infinite family of solvable and integrable quantum systems on a plane,
2009
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Ballesteros A., Herranz F.J., Maximal superintegrability of the generalized Kepler–Coulomb system on
2009
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2010
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Marquette I., Superintegrability and higher order polynomial algebras,
2010
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