Quantum - Atomic Units + angular momentum

which 6 quantities have a value of 1 in atomic units?

1. $$m_e$$

2. $$e$$

3. $$\hbar$$

4. $$4\pi \epsilon_0$$

5. $a_0$ (expression in data book)

6. $E_h$ (expression in data book)

How can the Hamiltonian of the H atoms be simplified in atomic units?

What is the energy of a hydrogenic atom in atomic units?

What quantum number(s) does it scale with?

$$E_n = \frac{Z²}{2n²}$$

ONLY SCALES w/$n$

$\Rightarrow$ $\^{H} \psi = \frac{Z²}{2n^2}\psi$ in atomic units

For H atom itself, $Z = 1$:

$$E_n = \frac{1}{2n²}$$

$$l$$