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arXiv · 1112.5367

Partial dynamical symmetries in quantum systems

A. Leviatan
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Abstract

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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A. Leviatan. 2011-12-22. Partial dynamical symmetries in quantum systems. https://doi.org/10.1088/1742-6596/380/1/012002

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