Partial dynamical symmetries in quantum systems

A. Leviatan*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


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.

Original languageAmerican English
Article number012002
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 2012
EventInternational Symposium 'Symmetries in Science XV' - Bregenz, Austria
Duration: 31 Jul 20115 Aug 2011


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