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Based on the boson realization of the Euclidean algebras, it is found that the E(n) dynamical symmetry (DS) may emerge at the critical point of the U(n)-SO(n+1) quantum phase transition.… Click to show full abstract
Based on the boson realization of the Euclidean algebras, it is found that the E(n) dynamical symmetry (DS) may emerge at the critical point of the U(n)-SO(n+1) quantum phase transition. To justify this finding, we provide a detailed analysis of the transitional Hamiltonian in the U(n+1) vibron model in both quantal and classical ways. It is further shown that the low-lying structure of 82Kr can serve as an excellent empirical realization of the E(5) DS, which provides a specific example of the Euclidean DS in experiments.
Keywords:
hidden euclidean;
vibron model;
dynamical symmetry
Journal Title: Symmetry
Year Published: 2022
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Journal Title: Symmetry
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!