Exact dynamical and partial symmetries

A. Leviatan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We discuss a hierarchy of broken symmetries with special emphasis on partial dynamical symmetries (PDS). The latter correspond to a situation in which a non-invariant Hamiltonian accommodates a subset of solvable eigenstates with good symmetry, while other eigenstates are mixed. We present an algorithm for constructing Hamiltonians with this property and demonstrate the relevance of the PDS notion to nuclear spectroscopy, to quantum phase transitions and to mixed systems with coexisting regularity and chaos.

Original languageAmerican English
Article number012044
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 2011


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