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arXiv:nucl-th/0212022·v1·Nuclear Theory

Fermion-Boson Interactions and Quantum Algebras

A. Ballesteros (Depto. de Fisica, Univ. de Burgos, Spain)🇪🇸 · O. Civitarese (Depto de Fisica, Univ. de La Plata, Argentine.)🇪🇸 · F.J.Herranz (Depto de Fisica, Univ. de Burgos, Spain)🇦🇷 · M. Reboiro (Depto de Fisica, Univ. de La Plata, Argentine.)🇦🇷

Abstract

Quantum Algebras (q-algebras) are used to describe interactions between fermions and bosons. Particularly, the concept of a su_q(2) dynamical symmetry is invoked in order to reproduce the ground state properties of systems of fermions and bosons interacting via schematic forces. The structure of the proposed su_q(2) Hamiltonians, and the meaning of the corresponding deformation parameters, are discussed.

Comments: 20 pages, 10 figures. Physical Review C (in press)

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