Перегляд за автором "Post, S."

Результати 1-7 з 7

Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials

Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)

We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing. We extend the Wigner-Inönü method ...
Invariant Classification and Limits of Maximally Superintegrable Systems in 3D

Capel, J.J.; Kress, J.M.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)

The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D ...
Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D

Kalnins, E.G.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)

There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite ...
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D

Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set of Stäckel equivalent systems for both ...
Racah Polynomials and Recoupling Schemes of su(1,1)

Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)

The connection between the recoupling scheme of four copies of su(1,1), the generic superintegrable system on the 3 sphere, and bivariate Racah polynomials is identified. The Racah polynomials are presented as connection ...
Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials

Kalnins, E.G.; Kress, J.M.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)

The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well ...
Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere

Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 ...

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Перегляд за автором "Post, S."

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