Answered: Consider N non-interacting electrons… | bartleby

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Q3.4 Please answer the following question throughly and detailed. Need to understand the concept.

Consider N non-interacting electrons confined to a two-dimensional square well of dimensions a xa. Derive
an expression for the Fermi energy of this system in terms of the areal density o =
= N/a² and calculate the
corresponding density of states.

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