4. The total energy eigenvalues for the hydrogen atom are given by $E_n = -e^2/(8\pi \epsilon_0 a_0 n^2)$ with $n = 1, 2, 3...$ etc. and the 3 quantum numbers associated with the H-atom orbitals are: 1) the principal quantum number $n$, 2) the angular momentum quantum number $l$ and 3) the magnetic quantum number $m$. Using the nomenclature $\Psi_{n,l,m}$:
4.1 List all orbitals that have the following total energy eigenvalues. [10 points]
$E_n = -e^2/(32\pi \epsilon_0 a_0)$
4.2 What is the degeneracy of these states? [5 points]
