Partial dynamical symmetries in quantum systems
Nuclear Theory
2013-04-16 v1
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.
Cite
@article{arxiv.1112.5367,
title = {Partial dynamical symmetries in quantum systems},
author = {A. Leviatan},
journal= {arXiv preprint arXiv:1112.5367},
year = {2013}
}
Comments
16 pages, 7 figures, talk at Symposium "Symmetries in Science XV", July 31 - August 5, 2011, Bregenz, Austria