Application to atoms

Note that, while for now you must rely on ``outside sources'' for $\psi_{1s}(r)$ and $\phi_{1s}$ below, soon your your own codes will compute them!

To use your integration routines for the problems below, you will need a change of variables function $r(u)$ for which $r(0)=0$ and $r(1)=\infty$. One suitable choice is

$$r(u)=\frac{1}{1-u}-1,$$

but you can get better results with other choices. You may wish to experiment...

Again, you will be asked to demonstrate that your code performs the tasks described below to the grader and in lab. To accomplish this, you may wish to have separate files for each exercise, or to comment in and out appropriate code blocks.