Partial Dynamical Symmetries

Details Partial Dynamical Symmetries Partial Dynamical Symmetries

2010-04-29

arxiv.org/abs/1004.5325v3

Prog. Part. Nucl Phys. 66: 93-143, 2011

Physics

Nuclear Physics

Nuclear Theory

74 pages, 22 figures, published version, Progress in Particle and Nuclear Physics

Scientific paper

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.

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