53 citations · 130 across the 5 of their papers we have counts for
5 papers
Exceptional Legendre Polynomials and Confluent Darboux Transformations
María Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson
Exceptional orthogonal polynomials are families of orthogonal polynomials that arise as solutions of Sturm-Liouville eigenvalue problems. They generalize the classical families of…
Quasi-exact solvability beyond the SL(2) algebraization
David Gomez-Ullate, Niky Kamran, Robert Milson
We present evidence to suggest that the study of one dimensional quasi-exactly solvable (QES) models in quantum mechanics should be extended beyond the usual $\sla(2)$ approach. Th…
The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces
F. Calogero, D. Gomez-Ullate, P. M. Santini +1
We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a 3-body problem in the complex plane and providing the prototype of a mechanism explaining the tra…
On the Sutherland Spin Model of B_N Type and its Associated Spin Chain
F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez +2
The B_N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integ…
Exact solutions of an elliptic Calogero--Sutherland model
D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez
A model describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is partially solved in the quantum case in a t…