- #1
Grand
- 76
- 0
Homework Statement
We know that:
[tex]E=<\psi|H|\psi>[/tex]
where
[tex]H=-\frac{\hbar^2}{2m} \nabla^2 - \frac{Ze^2}{4\pi\epsilon_0 r}[/tex]
and
[tex]\psi=R(r)Y(\theta, \phi)[/tex]
with
[itex]R(r)=\frac{1}{\sqrt{(2n)!}}(\frac{2Z}{na_0})^{3/2}\left(\frac{2Zr}{na_0}\right)^{n-1}e^{-Zr/na_0}[/itex]
If I want to find the energy, do I just evaluate this integral over all space? I started doing it, but it becomes very untidy at a point - I just wanted to ask if this is the method.