- #1

cscott

- 782

- 1

## Homework Statement

The time-averaged potential of a neutral hydrogen atom is given by

[tex]V = \frac{q}{4 \pi \epsilon_0} \frac{e^{-\alpha r}}{r} \left ( 1 + \frac{\alpha r}{2} \right )[/tex]

[tex]\alpha = 2/a_0[/itex], where [itex]a_0[/itex] is the Bohr radius.

Find the charge distribution (continuous and discrete) which will give you this potential.

## The Attempt at a Solution

Totally stuck here except I think the charge density of the |1s> state should be

[tex]\rho = e<1s|1s>[/itex],

however that doesn't get me very far. Is the second term in V the contribution of the proton?