engleski

SU(1, 1) algebra and interacting families of Calogero particles

A one-dimensional model with F interacting families of Calogero-type particles is studied. The model includes harmonic, two-body and three-body interactions. We emphasize the universal SU(1, 1) structure of the model. We show how SU(1, 1) generators for the whole system are composed of SU(1, 1) generators of arbitrary subsystems. We find the exact eigenenergies corresponding to a class of the exact eigenstates of the F-family model. By imposing the conditions for the absence of the three-body interaction, we find certain relations between the coupling constants.

Multispecies Calogero model; SU(1; 1) symmetry; Interacting families

nije evidentirano