Question: Write an expression for the expectation value of the energy associated with the Coulomb interaction between the two electrons of a helium atom in

Write an expression for the expectation value of the energy associated with

 

Write an expression for the expectation value of the energy associated with the Coulomb interaction between the two electrons of a helium atom in its ground state. Use a space eigenfunction for the system composed of products of one-electron atom eigenfunctions, each of which describes an electron moving independently about the Z = 2 nucleus. Do not bother to evaluate the expectation value integral, but instead comment on its relation to the energy levels shown in the Figure below. 0 -50 1,1=0; n=2,11 Singlet -Triplet -60 -Singlet (n=1,1 = 0; n = 2,1=0 Triplet -70 n=1;n=2 n=1,1=0; n = 1,1=0 -80 -Singlet Energy (eV)

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