(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider an electron gas with a density of states given by D(e) = ae2. Here a is a constant. The Fermi energy is e_{F}.

a) We first consider the system at zero temperature. Compute the total number of electrons N and the groundstate

energy E. Show that the average energy per electron in the groundstate is given by (3/4)e_{F}.

2. Relevant equations

many available expressions for the number of electrons but dont know which one to use.

i.e N(E)= V/3π^{2}(2mE/hbar^{2})^{3/2}

lacking expressions for energy

3. The attempt at a solution

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# Homework Help: Density of states, fermi energy

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