Module 2 : Atomic Physics & Atomic Structure
Lecture 11 : Helium Atom
 

Considering electron repulsion:

 
(11.8)

We will consider the first order perturbation theory. In this approximation, we take unperturbed Hamiltonian as



And consider the perturbed Hamilrtonian as



Substituting in the Schrodinger Equation


We are interested to calculate the ground state energy. So both the electrons are in 1s level.

So, n = 1, l = 0 and m = 0 for both the electrons. Let us take the ground state wavefuntion of the hydrogen atom for each electron.