Free electrons in two dimensions

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Free electrons in two dimensions. Consider free electrons confined to move in two, rather than in three dimensions.

Compute the Fermi energy, velocity and momentum as a function of electron density for this case (do not forget the spin!).

What is the main difference of the 2D case from the 3D case?

What is the density of states as a function of energy for such a 2D case?

Reference no: EM13674173

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