Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians
Mathematical Physics
2016-01-07 v1 math.MP
Quantum Physics
Abstract
Schematic su(2)+h3 interaction Hamiltonians, where su(2) plays the role of the pseudo-spin algebra of fermion operators and h3 is the Heisenberg algebra for bosons, are shown to be closely related to certain nonlinear models defined on a single quantum algebra q-su(2) of quasifermions. In particular, q-su(2) analogues of the Da Providencia-Schutte and extended Lipkin models are presented. The connection between q and the physical parameters of the fermion-boson system is analysed, and the integrability properties of the interaction Hamiltonians are discussed by using polynomial algebras.
Keywords
Cite
@article{arxiv.0707.3787,
title = {Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians},
author = {Angel Ballesteros and Osvaldo Civitarese and Francisco J. Herranz and Marta Reboiro},
journal= {arXiv preprint arXiv:0707.3787},
year = {2016}
}
Comments
15 pages