2010/04/30 by A. Leviatan
Physics and Astronomy · #nucl-th #quant-ph
paper · pdf · doi:10.1016/j.ppnp.2010.08.001
published as Prog. Part. Nucl Phys. 66: 93-143, 2011 · 74 pages, 22 figures, published version, Progress in Particle and Nuclear Physics
arxiv created 2010/12/26 · arxiv updated 2013/04/16
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.