Partial dynamical symmetries in quantum systems

Details Partial dynamical symmetries in quantum systems Partial dynamical symmetries in quantum systems

2011-12-22

arxiv.org/abs/1112.5367v1

Physics

Nuclear Physics

Nuclear Theory

16 pages, 7 figures, talk at Symposium "Symmetries in Science XV", July 31 - August 5, 2011, Bregenz, Austria

Scientific paper

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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