标题： 动态对称性在最小二聚体复合物中 显示英文标题

标题： Dynamical symmetry in a minimal dimeric complex

摘要： 非配置对称性的出现在最小例子中被研究。 受审查的系统由一个具有配置$C_3$对称性的二聚体六边形复合物组成，作为紧束缚模型进行表述。 发现参数空间中存在一个意外的三重简并点；表明一个内部$U(3)$对称性群作用于希尔伯特空间，但不作用于配置空间。 利用$C_6 \cong C_3 \times Z_2$不可约表示的相应离散威格纳函数来显示，一个$6\times 6$相空间足以表现出一个不变子集。 因此，动力学对称性被识别为一个离散的半平面。 对连续系统中其他已知隐藏对称性的一些影响进行了定性讨论。 显示英文摘要

摘要： The emergence of non-configurational symmetry is studied in a minimal example. The system under scrutiny consists of a dimeric hexagonal complex with configurational $C_3$ symmetry, formulated as a tight-binding model. An accidental three-fold degeneracy point in parameter space is found; it is shown that an internal $U(3)$ symmetry group operates on Hilbert space, but not on configuration space. The corresponding discrete Wigner functions for the irreducible representations of $C_6 \cong C_3 \times Z_2$ are utilized to show that a $6\times 6$ phase space is sufficient to exhibit an invariant subset. The dynamical symmetry is thus identified with a discrete semi-plane. Some implications on other known hidden symmetries of continuous systems are qualitatively discussed.