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## Homework Statement

For [tex]\Delta[/tex]l = 0 the transition rate can be obtained by evaluating the electric dipole matrix elements

given by

[tex]\vec{I}[/tex] = [tex]\int[/tex] [tex]\Psi^{*}_{1,0,0}[/tex] (e [tex]\vec{r}[/tex]) [tex]\Psi_{2,0,0}[/tex] d[tex]\tau[/tex]

## Homework Equations

## The Attempt at a Solution

I've got the two wave functions, neither of which have a theta or phi dependance, so when multiplied by the r vector, I should just get their r components. Evaluating this integral is simple, but I'm not sure if I understand what the answer means.

The selection rule for l is [tex]\Delta[/tex]l =[tex]\pm[/tex]1, so doesn't that mean that this case, where [tex]\Delta[/tex]l = 0 shouldn't be allowed? I might be completely off track, but I thought that the integral would give me 0, proving this, but that's not the value I'm getting. The actual calculation here isn't difficult, but I think I'm missing something conceptually.