Avancini, S. S.Eiras, A.Galetti, D.Pimentel, B. M.Lima, C. L.2014-05-202014-05-201995-09-07Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 28, n. 17, p. 4915-4923, 1995.0305-4470http://hdl.handle.net/11449/31535Assuming q-deformed commutation relations for the fermions, an extension of the standard Lipkin Hamiltonian is presented. The usual quasi-spin representation of the standard Lipkin model is also obtained in this q-deformed framework. A variationally obtained energy functional is used to analyse the phase transition associated with the spherical symmetry breaking. The only phase transitions in this q-deformed model are of second order. As an outcome of this analysis a critical parameter is obtained which is dependent on the deformation of the algebra and on the number of particles.4915-4923engArtigo10.1088/0305-4470/28/17/022WOS:A1995RV09200022Acesso restrito