论文标题
潜在对称性诱导的归化性
Latent symmetry induced degeneracies
论文作者
论文摘要
物理系统能量光谱中的脱落通常被认为是意外特征或由汉密尔顿的对称性引起的。我们通过将它们追溯到通过子系统分区得出的同一有效的汉密尔顿有效的汉密尔顿的对称性来开发一种解释脱生的方法。我们通过将这些潜在对称性与相应的局部对称性联系起来，从而提供了对这种潜在对称性的直观解释。作为一种应用，我们将真正的哈密顿量旋转对称性与非亚伯式潜在对称群体相关联。证明旋转对称性可以以受控的方式破裂，同时保持潜在的更基本的潜在对称性。这打开了根据潜在对称性调查意外变性的观点。
Degeneracies in the energy spectra of physical systems are commonly considered to be either of accidental character or induced by symmetries of the Hamiltonian. We develop an approach to explain degeneracies by tracing them back to symmetries of an isospectral effective Hamiltonian derived by subsystem partitioning. We provide an intuitive interpretation of such latent symmetries by relating them to corresponding local symmetries in the powers of the underlying Hamiltonian matrix. As an application, we relate the degeneracies induced by the rotation symmetry of a real Hamiltonian to a non-abelian latent symmetry group. It is demonstrated that the rotational symmetries can be broken in a controlled manner while maintaining the underlying more fundamental latent symmetry. This opens up the perspective of investigating accidental degeneracies in terms of latent symmetries.
