Effective \(su_{q}(2)\) models and polynomial algebras for fermion-boson Hamiltonians
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Publication:2654828
DOI10.1023/A:1027301616731zbMATH Open1178.81122arXiv0707.3787MaRDI QIDQ2654828
Author name not available (Why is that?)
Publication date: 21 January 2010
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0707.3787
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