things dependent on others are full of uncertainties.
I hate this kind of uncertainties. I wish I can determine things on my own.
you can't understand this kind of frustration before you really experience it. You consider you can determine everything on your own but actually there remain people adapting to your needs automatically.
Is it possible that gravitons don't exist, but are actually something like phonons?
Of course, it is my fault that I didn't search first, but stackexchange search tab is not that visible.
The radial function $R(r)$ overall decreases with distance in a roughly exponential fashion while $r^2$ increases with distance. So the product of $r^2$ and $R^2$ first increases then decreases again.
If we write $g(r) = e^{-r/a}$ (i.e. a hydrogen $1s$ orbital) then $g(r)$ decreases with increasing $r$.
If you take the product $h(r) = f(r) g(r)$ then $h(r)$ starts at zero for $r=0$, first increases with increasing $r$, then peaks, then decreases again at large $r$.
I'm not sure whether there's any great significance to that.
It's certainly interesting now you mention it.
There might be something in the mathematics of the solutions to the Schrodinger equation that means the peak values of $r^2\psi^2$ always increase with distance from the nucleus or it might be just a coincidence. I must confess I'm not sure which it is.
@EmilioPisanty It's good the uni is closed tomorrow. I need to get my mind off a bad week and I suppose posting wasn't such a great idea. Thanks for being vigilant on my behalf.
@EmilioPisanty it's particularly pleasant to have users that are knowledgeable enough to point out correctly, politely and swiftly issues with a post when they are arise.