Radial uncertainty scale in a uniform sphere
= Radial uncertainty scale in a uniform sphere
{title2=$r_{\rm rms}=\sqrt{3/5}R$}
For uniform probability per volume in a sphere of radius $R$, the radial <probability density function> is $3r^2/R^3$. Its root-mean-square radius is $\sqrt{3/5}R$, whereas its scalar-radius standard deviation is $\sqrt{3/80}R$. These are distinct from a fully specified quantum momentum uncertainty.