42 citations · 78 across the 3 of their papers we have counts for
3 papers
math-ph2014★ 15 cited
Quantum Integrals from Coalgebra Structure
Sarah Post, Danilo Riglioni
Quantum versions of the hydrogen atom and the harmonic oscillator are studied on non Euclidean spaces of dimension N. 2N-1 integrals, of arbitrary order, are constructed via a mult…
math-ph2012★ 21 cited
Third-order superintegrable systems separable in parabolic coordinates
I. Popper, S. Post, P. Winternitz
In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equa…
math-ph2009★ 42 cited
Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics
E. G. Kalnins, W. Miller, S. Post
We review the fundamentals of coupling constant metamorphosis (CCM) and the Stäckel transform, and apply them to map integrable and superintegrable systems of all orders into other…