On symmetries of generalized Calogero model and Polychronakos-Frahm chain

Abstract

The symmetry of the generalized Polychronakos-Frahm chain is obtained from the Dunkl-operator deformation of the unitary algebra, which describes the symmetry of the generalized Calogero model.

9 pages

References in corpus (5)

• Physics and Mathematics of Calogero particles
• Superintegrability of (generalized) Calogero models with oscillator or Coulomb potential
• Spherical Calogero model with oscillator/Coulomb potential: quantum case
• On the algebra of symmetries of Laplace and Dirac operators
• The total angular momentum algebra related to the ${\mathrm{S}}_3$ Dunkl Dirac equation

Cited by in corpus (1)

• Dynamical symmetries of the Calogero-Coulomb model