Partial Dynamical Symmetries
Nuclear Theory
2013-04-16 v3 Quantum Physics
Abstract
This overview focuses on the notion of partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by a subset of solvable eigenstates, but is not shared by the Hamiltonian. General algorithms are presented to identify interactions, of a given order, with such intermediate-symmetry structure. Explicit bosonic and fermionic Hamiltonians with PDS are constructed in the framework of models based on spectrum generating algebras. PDSs of various types are shown to be relevant to nuclear spectroscopy, quantum phase transitions and systems with mixed chaotic and regular dynamics.
Cite
@article{arxiv.1004.5325,
title = {Partial Dynamical Symmetries},
author = {A. Leviatan},
journal= {arXiv preprint arXiv:1004.5325},
year = {2013}
}
Comments
74 pages, 22 figures, published version, Progress in Particle and Nuclear Physics