费米子-玻色子哈密尔顿算符的有效su_q（2）模型和多项式代数
Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians
摘要：
图su（2）+h3相互作用哈密顿量，其中su（2）扮演费米子算符的伪自旋代数的角色，h3是玻色子的海森堡代数，被证明与定义在准费米子的单量子代数q-su（2）上的某些非线性模型密切相关。特别地，给出了Da Providencia-Schutte模型和扩展Lipkin模型的q-su（2）类似物.分析了q与费米子-玻色子系统物理参数之间的关系，并利用多项式代数讨论了相互作用哈密顿量的可积性。
英文摘要：
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.
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