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In a one-dimensional system, the density of states is given by N(E)= 2m, where L is the length of the sample
L√2m
in the
and m is the mass of the electron, as seen in class. There are N quantum particles with spin |S| =
sample (the quantum particles can be understood as 'special electrons with spin [S] ='), so that each state can
be occupied by 2|S| + 1 particles. Determine the Fermi energy at 0 K.

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