- #1
carlosbgois
- 68
- 0
Homework Statement
[/B]
Consider a hydrogen atom which, in t = 0, is in the state given by
[tex]\psi(\mathbf{r},t>0)=\frac{A}{4\pi}R_{10}(r)+\frac{cos\alpha}{4\pi}\left(\frac{z-\sqrt{2}x}{r}\right)R_{21}(r)[/tex]
Expand ψ in terms of the {Φnlm} basis of normalized eigenfunctions
[tex]\phi_{nlm}(\mathbf{r})=R_{nl}(r)Y_l^m(\theta,\phi)[/tex]
Homework Equations
The result should be
[tex]A\phi_{100}(\mathbf{r})+\frac{cos\alpha}{\sqrt{3}}[\phi_{210}(\mathbf{r})+\phi_{211}(\mathbf{r})-\phi_{21,-1}(\mathbf{r})][/tex]
The Attempt at a Solution
Apart from having the supposed solution, I have no idea where to start.
Any help is appreciated.