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.

Question

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.

Damon · Answer

This question is beyond me. I have not looked at this material for years. Hopefully someone who is up to date will see it.

drwls · Answer

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.

drwls · Answer

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
(Broken Link Removed)

I recommend using the Born-Oppenheimer approximation for the elastic scattering cross section of high energy electrons. See
http://www.springerlink.com/content/w40m51740685764j/fulltext.pdf?page=1
for details.

Good luck with your thesis.