TY - JOUR
T1 - Partial dynamical symmetries in quantum systems
AU - Leviatan, A.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84867930850&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/380/1/012002
DO - 10.1088/1742-6596/380/1/012002
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AN - SCOPUS:84867930850
SN - 1742-6588
VL - 380
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012002
T2 - International Symposium 'Symmetries in Science XV'
Y2 - 31 July 2011 through 5 August 2011
ER -