2. He atom (a) Show that if the mutual repulsion between the e- is neglected, one can separate the wavefunction &(r₁, r2
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2. He atom (a) Show that if the mutual repulsion between the e- is neglected, one can separate the wavefunction &(r₁, r2
2. He atom (a) Show that if the mutual repulsion between the e- is neglected, one can separate the wavefunction &(r₁, r2) into a product and obtain two independent Schrodinger equations. Discuss how you would further separate these individual wavefunctions and the Schrodinger equations. (b) Draw qualitatively the Coulomb potentials for the limiting cases of S = 0 and S = 1 shielding of the nuclear charge. Draw how the true potential would approximately look like.
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