Partial dynamical symmetries in quantum systems

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.

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

References in corpus (4)

• Partial conservation of seniority and nuclear isomerism
• Partial Dynamical Symmetries
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms

Cited by in corpus (1)

• Quantum catastrophes from an algebraic perspective