posted by Beatriz .
1) Obtain the binding energies of 4He and 18O in the Hartree-Fock aproximmation. Use as variational space three oscillator shells for every occupied orbit. Don't use the spin-orbit coupling term.
2) Calculate (using oscillator wave functions with the appropriate frecuency), the charge density of 16O, and the elastic dispersion cross section of 400 MeV electrons.
This question is beyond me. I have not looked at this material for years. Hopefully someone who is up to date will see it.
These are major undertakings worthy of a PhD thesis when I went to grad school. Is this a single night's homework assignment? I find that hard to believe.
I don't know why you bother to give the atomic weight of the atoms, since only the atomic number affects the wave functions.
I suspect this is a made-up prank question, or a PhD thesis assigment. Wave functions do not have frequencies. Charge densities can be calculated fairly well with the Thomas-Fermi model, described at
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I recommend using the Born-Oppenheimer approximation for the elastic scattering cross section of high energy electrons. See
Good luck with your thesis.