THE UNDERLYING PHYSICS OF Q-DEFORMED PSEUDOSPIN MODELS

In this paper, we have used the q-deformed version of the Lipkin-Meshk ov-Glick (LMG) model to summarize the utilization of quantum algebras already applied to soluble pseudospin models. Within the su(q)(2) cont ext, we have checked the validity of the coherent states variational m ethod, then used the Time Dependent Hartree-Fock (TDHF) approximation to compare with the exact evolution in time of the system, and finally observed the temperature effects undergone by the system, through the study of the Helmholtz free energy. We have also investigated the LMG model within the contexts of the su(pq)(2) and su(q)(3) algebras and some of the features mentioned above have been rediscussed.