Dynamic versus kinematic symmetry breaking in a two-dimensional model of collective motion
Dynamic versus kinematic symmetry breaking in a two-dimensional model of collective motion
复制标题
集体运动二维模型中的动态与运动学对称性破缺
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
J. Cseh
中科院分区：
文献类型：
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作者：
J. Cseh
研究了二维相互作用玻色子模型的振动谱能否通过群结构的量子变形转化为旋转谱的问题。结果表明，虽然在不同的变形参数值下，q-变形模型的谱表现出这样或那样的类旋转特征，但不能同时满足旋转行为的所有要求。这一结果表明，量子代数处理不能给出核与分子物理相互作用玻色子模型在动力学对称性破缺的整个物理范围内的本征值问题的解析解。
Investigates the question of whether or not the vibrational spectrum of a two-dimensional interacting boson model can be transformed into the rotational one via quantum deformation of the group structure. It turns out that although the spectrum of the q-deformed model shows one or another of the rotational-like features at different values of the deformation parameter, nevertheless, all the requirements of the rotational behavior cannot be obtained simultaneously. This result indicates that the quantum algebraic treatment cannot give an analytical solution to the eigenvalue problem of the interacting boson models of nuclear and molecular physics in the whole range of the physically relevant breaking of dynamical symmetries.