I can show how: \begin{equation} ΔqΔp \geq \frac{\hbar}{2} \end{equation} In a general way. You just need to consider the commutation properties of 2 generic operators to do so.
Both $p$ and $q$ satisfy this relation.
On the other hand, I can show how $h^{f}$ should be the area of the phase hypersurface, where $f$ is the dimension of the phase space. This is used when you want to integrate like: \begin{equation} \Gamma=\frac{∫ dp dq}{h^{f}} \end{equation}
Now i need to understand how to link both this infos. I've been taught that the cell in the hypersurface is the smaller cell you can find to be certain to have a particle detected in the phase space. It means that this cell is equal to the least uncertainty of $p$ and $q$. This makes sense, but it's false, according to the first equation.
How can I explain it?
