2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57548A 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.9 Pages, RevTex 4, no figures. Corrected some typos and mistakes in equation referencingMathematical PhysicsDifferential GeometryGroup TheoryQuantum Physics20G45text