定义表示中SU（n）矩阵元素的几何相位和模关系
Geometric phase and modulus relations for SU(n) matrix elements in the defining representation
摘要：
导出了一组模和相位之间的关系，其中$\hat{U}(x) \in SU(n)$的基本表示和$x$表示的坐标组流形上的$\mels{\hatu(x)}$形式的振幅。一个例子是$n=2$的情况下，以及简要讨论的相位奇异性和超振荡的相位行为，这样的振幅。目前的结果补充先前获得的结果\cite{PMrel1}的振幅值射线空间${\cal R} = {\mathbb C}P^n$。两者之间的联系进行了讨论。
英文摘要：
A set of relations between the modulus and phase is derived for amplitudes of the form $\mels{\hatu(x)}$ where $\hat{U}(x) \in SU(n)$ in the fundamental representation and $x$ denotes the coordinates on the group manifold. An illustration is given for the case $n=2$ as well as a brief discussion of phase singularities and superoscillatory phase behavior for such amplitudes. The present results complement results obtained previously \cite{PMrel1} for amplitudes valued on the ray space ${\cal R} = {\mathbb C}P^n$. The connection between the two is discussed.
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