(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Energy levels in Hydrogen - derivation

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