224 citations · 634 across the 22 of their papers we have counts for
23 papers
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…
An Infinite-Dimensional -Module Obtained from the -Shuffle Algebra for Affine
Sarah Post, Paul Terwilliger
Let denote a field, and pick a nonzero that is not a root of unity. Let denote the cyclic group of order 4. Define…
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…
A higher rank extension of the Askey-Wilson Algebra
Sarah Post, Anthony Walter
A novel generalization of the Askey-Wilson algebra is presented and shown to be associated with coproducts in the quantum algebra . This algebra has 15 non-commuting…
An algebraic interpretation of the multivariate -Krawtchouk polynomials
Vincent X. Genest, Sarah Post, Luc Vinet
The multivariate quantum -Krawtchouk polynomials are shown to arise as matrix elements of "-rotations" acting on the state vectors of many -oscillators. The focus is put o…