部分动力学对称
Partial Dynamical Symmetries
摘要:
本概述集中在部分动力学对称性(PDS)的概念,其中规定的对称性是服从可解本征态的子集,但不共享的哈密顿量。一般的算法来识别相互作用,一个给定的顺序,这样的中间对称结构。在基于谱生成代数的模型框架下,构造了具有PDS的显式玻色子和费米子哈密顿量。各种类型的PDS被证明是相关的核谱学,量子相变和系统的混合混沌和规则的动力学。
英文摘要:
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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