Chapter 4.1, Problem 4.10P

(a)

To determine

Verify the radial equation with $V\left(r\right)=0$ and $l=1$ for the function $Ar{j}_1\left(kr\right)$.

(b)

To determine

Show the allowed energy levels for infinite spherical in the graph and confirm that $E_{N1}\approx \left(\frac{{\hslash }^2{\pi }^2}{2m{a}^2}\right){\left(N+\frac{1}{2}\right)}^2$ for very large values of $N$.