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I have a question in a past exam paper which I cant quite understand how to prove. It reads:

Give an expression for the Hamiltonian of the Helium atom. Neglecting the interaction between the electrons, derive the state function for the Helium ground state in terms of hydrogen-like spatial state functions and spin eigenstates. What are the quantum numbers of this state?

I have attched a word document which shows the progress that I have made on the question so far.

I understand that the spin eigenstates are the "1/2" terms after eachchiand that the interaction term is the last in the hamiltonian but am unsure on how to prove that this is its ground state, other than the fact thatpsi100, is the lowest energy state since n = 1.

Any help would be much appreciated. Thanks

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# Homework Help: Helium Hamiltonian

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