Posted by MRH on April 1, 2014, 11:50 am, in reply to "Re: 2013 paper question 2"
I can see that the question wants us to go through the sort of procedure you describe. I consider the method analogous to finding the critical mass for a neutron star. One calculates the total kinetic energy of a fermi gas, and adds a potential term, the sum of which is then minimised. My problem is that whilst the kinetic term is a function of electron density, the potential term is not. So if 'Determine the electron density that minimizes the total energy (electrostatic plus kinetic) per ion.' I will find that the minimum is at zero density. 
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