47 citations · 62 across the 3 of their papers we have counts for
3 papers
math-ph2012★ 2 cited
Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Ernie Kalnins, George S. Pogosyan, Alexander Yakhno
In this paper analytic contractions have been established in the contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensiona…
math-ph2012★ 13 cited
Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems
Ernie G. Kalnins Kalnins, Willard Miller
The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This pol…
math-ph2010★ 47 cited
A Recurrence Relation Approach to Higher Order Quantum Superintegrability
Ernie G. Kalnins, Jonathan M. Kress, Willard Miller
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 separ…