Hidden Euclidean Dynamical Symmetry in the U(n + 1) Vibron Model

Autor: Yu Zhang, Zi-Tong Wang, Hong-Di Jiang, Xin Chen
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Symmetry, Vol 14, Iss 10, p 2219 (2022)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym14102219
Popis: 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.
Databáze: Directory of Open Access Journals
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