In a one-dimensional system, the density of states is given by N(E)= 2m, where L is the length of the sampleL√2min theand 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 canbe occupied by 2|S| + 1 particles. Determine the Fermi energy at 0 K.

For the given 1D system, the density of the state is given by N(E) = L2mπhE where L is the length of…

where L is the length of the sample In a one-dimensional system, the density of states is given by N(E) = and m is the mass of the electron, as seen in class. There are N quantum particles with spin |S| = in the 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.

where L is the length of the sample In a one-dimensional system, the density of states is given by N(E) = and m is the mass of the electron, as seen in class. There are N quantum particles with spin |S| = in the 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.