量子系统中的部分动力学对称性
Partial dynamical symmetries in quantum systems
摘要：
我们讨论了部分动力学对称性（PDS）的概念，其中规定的对称性是服从只有一个子集的可解本征态，而其他本征态是强混合。我们提出了一个明确的建设与此属性的哈密顿量，包括高阶项，并描绘其意义的光谱和形状相变的核。被认为是一个单一的PDS的发生，稳定的结构相关，和几个PDS，共存现象相关。
英文摘要：
We discuss the the notion of a partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by only a subset of solvable eigenstates, while other eigenstates are strongly mixed. We present an explicit construction of Hamiltonians with this property, including higher-order terms, and portray their significance for spectroscopy and shape-phase transitions in nuclei. The occurrence of both a single PDS, relevant to stable structures, and of several PDSs, relevant to coexistence phenomena, are considered.
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