I was studying and came across this quote from Giancoli's Physics For Scientists & Engineers with Modern Physics. in Chapter 40. "From the uncertainty principle with $\Delta$x larger, we see that $\Delta$p and the minimum momentum can be less than when they are separate. That is, the molecule has less energy than the two separate atoms, and so is more stable."
Where $\Delta$x is larger because electrons can move around both the nuclei. I get the feeling that the way it was formulated is incorrect. Since the uncertainty principle only says something about the uncertainty and not about the value? Have I missed anything? And if not, what is a more correct way to explain the lower energy level? Sorry if this question was asked already, I couldn't find a question that solves this problem.