224 citations · 634 across the 22 of their papers we have counts for
19 papers · 1 filter
Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra
Nicolas Crampé, Sarah Post, Luc Vinet
We construct an explicit embedding of the rank two Racah algebra into the rank two Jacobi algebra . Working in the differential model of $\mathfrak…
A fourth-order superintegrable system with a rational potential related to Painleve VI
Ian Marquette, Sarah Post, Lisa Ritter
In this paper, we investigate in detail a superintegrable extension of the singular harmonic oscillator whose wave functions can be expressed in terms of exceptional Jacobi polynom…
Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials
Md Fazlul Hoque, Ian Marquette, Sarah Post +1
We introduce an extended Kepler-Coulomb quantum model in spherical coordinates. The Schrödinger equation of this Hamiltonian is solved in these coordinates and it is shown that the…
Racah Polynomials and Recoupling Schemes of
Sarah Post
The connection between the recoupling scheme of four copies of , the generic superintegrable system on the 3 sphere, and bivariate Racah polynomials is identifi…
Invariant Classification and Limits of Maximally Superintegrable Systems in 3D
Joshua J. Capel, Jonathan M. Kress, Sarah Post
The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superinteg…
-Rotations and Krawtchouk polynomials
Vincent X. Genest, Sarah Post, Luc Vinet +2
An algebraic interpretation of the one-variable quantum -Krawtchouk polynomials is provided in the framework of the Schwinger realization of involving…