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

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 …

We construct the Hamiltonians and symmetry generators of Calogero-oscillator and
Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction …

We consider the quantum mechanics of Calogero models in an oscillator or Coulomb
potential on the N-dimensional sphere. Their Hamiltonians are obtained by an appropriate …

We introduce the Dunkl version of the Laplace–Runge–Lenz vector associated with a finite
Coxeter group W acting geometrically in RN and with a multiplicity function g. This vector …

We propose a unified description for the constants of motion for superintegrable
deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space …

We review the classical properties of Tremblay–Turbiner–Winternitz and Post–Wintenitz
systems and their relation with N-dimensional rational Calogero model with oscillator and …

We propose a new superintegrable mechanical system on the complex projective space CP
N involving a potential term together with coupling to a constant magnetic fields. This system …

We construct closed-form solutions to the one-dimensional, stationary Dunkl-Schrödinger
equation for the inverted oscillator potential with an inverse quadratic singularity at the …

We show that the Calogero-type perturbation preserves the integrability and partial
separation of variables for the Stark–Coulomb and two-center Coulomb problems, and …