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详细分析了三维各向同性振子的三种典型的q形变形式。这三种q形变哈密顿量分别具有S3,SUq(2),及Uq(3)对称性。特别地,在第三种情形下给出Uq(3)?SOq′(3)的具体实现。利用形变泛函映射,讨论了q形变振子与经典振子间的关系。In this paper, three kinds of q -deformations of three-dimensional isotropic oscillator are discussed in detail, the Hamiltonians of which have S3, SUq(2) , and Uq(3) symmetries, repectively. Especially, in the third case a specific realization of Uq(3)?SOq′ (3) is given. Relation between the q -deformed oscillator and the classical one is also discussed.
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