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本文讨论q-畸变振子系统的解和q-振子代数及其表示的问题,并对|q|=1的情形进行详细的研究。给出SUq(2)及q-振子代数(记为Hq(4)之间的联系。给出单q-振子系统的解,并指出它与普通仲费密振子之间的类似行为,对行为类似于1,2,3阶仲费密子的q-振子系统进行了尤为详细的讨论。最后,研究Hq(4)的表示及其性质,并简单地讨论q-畸变振子的链模型的解。A discussion on the q-oscillator system and the algebra Hq(4) is presented, emphasizing the case of |q| = 1 in particular. A remarkable connection between algebras SUq(2) and Hq(4) is given. The single q-oscillator system is solved and shown to be analogous to the parafermion-(PF), with the specific cases analogous to 2nd and 3rd order PF's discussed in detail. The properties of the representations of Hq(4) and a finite chain model of q-oscillators are discussed-
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中国物理学会期刊
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