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helpcometk
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Homework Statement
Consider an electron gas with a density of states given by D(e) = ae2. Here a is a constant. The Fermi energy is eF.
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)eF.
Homework Equations
many available expressions for the number of electrons but don't know which one to use.
i.e N(E)= V/3π2(2mE/hbar2)3/2
lacking expressions for energy