a) the simplest, but least accurate, treatment of the helium atom involves ignoring the coulomb interaction between its two electrons and taking the total energy of the atom to be the sum of the one-electron atom energies of each electron moving about the Z=2 nucleus. use this treatment to predict the energies of the ground and first excited states of the atom
b) Write an expression for the expectation value of the energy associated with coulomb interaction between the two electrons of 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
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