We compute the properties of a class of charged black holes in anti–de Sitter space-time, in
diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell …

We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb
systems, replacing their angular degrees of freedom by those of a generalized rational …

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 …

We construct the Runge-Lenz vector and the symmetry algebra of the rational Calogero-
Coulomb problem using the Dunkl operators. We reveal that they are proper deformations of …

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 investigate the integrals of motion of general conformal mechanical systems with and
without confining harmonic potential as well as of the related angular subsystems, by …

This paper introduces a model for a few repulsively interacting particles trapped in a one-
dimensional harmonic well and provides exact solutions for the three-particle case. This …

Symmetries of the generalized Calogero model and the Polychronakos-Frahm chain Page
1 Symmetries of the generalized Calogero model and the Polychronakos-Frahm chain …

This article introduces the" Goldilocks model" for a few repulsively interacting particles
trapped in a one-dimensional harmonic well and provides exact solutions for the three …

In mechanics a constant of motion is called the quantity that is conserved throughout the
motion. These quantities allow to describe properties of motion and solve equations of …