We devise a method for constructing solvable cases of generalized linear Dunkl-
Schrödinger equations by means of suitable point transformations. The quantum …

The superintegrability of the Dunkl–Coulomb model in three-dimensions is studied. The
symmetry operators generalizing the Runge–Lenz vector operator are given. Together with …

We study the properties of the symplectic sp (2N) algebra deformed by means of the Dunkl
operators, which describe the dynamical symmetry of the generalized N-particle Calogero …

In this paper, we investigate new integrable extensions of two-center Coulomb systems. We
study the most general n-dimensional deformation of the two-center problem by adding …

For a finite dimensional representation V of a finite reflection group W, we consider the
rational Cherednik algebra H t, c (V, W) associated with (V, W) at the parameters t≠ 0 and c …

We study complex integrable systems on quiver varieties associated with the cyclic
Noquiver, and prove their superintegrability by explicitly constructing first integrals. We …

We define a family of Dirac operators for the Dunkl angular momentum algebra depending
on certain central elements of the group algebra of the Pin cover of the Weyl group inherent …

Originally motivated by connections to integrable systems, two natural subalgebras of the
rational Cherednik algebra have been considered in the literature. The first is the …

We review some recents developments of the algebraic structures and spectral properties of
non-Hermitian deformations of Calogero models. The behavior of such extensions is …

A general class of superintegrable systems on 2D spaces of constant curvature is known for
which the potential is not spherically symmetric but allows separation of variables in …