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Symmetries of the interacting boson model
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In this contribution the symmetry properties of the interacting boson model of Arima and Iachello are reviewed. While the concept of a dynamical symmetry is by now a familiar one, this is not necessarily so for the extended notions of partial dynamical symmetry and quasi dynamical symmetry, which can be beautifully illustrated in the context of the interacting boson model. The main conclusion of the analysis is that dynamical symmetries are scarce while their partial and quasi extensions are ubiquitous.
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Quantum-information fingerprints of partial dynamical symmetry in the interacting boson model
The label variance of a symmetry Casimir is a state-resolved quantum-information diagnostic that separates solvable from mixed eigenstates in partial dynamical symmetry, unlike bipartite entanglement magnitude.
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