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Solid-state physics studies how macroscopic properties of solids (mechanical, electrical, optical, etc.) result from their microscopic structure. It usually deals with the scale where quantum properties of the particles are substantial.
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The dimension of Spectral Function
For a free electron gas model with volume $V$, the spectral function is
$$A(k,\epsilon)=2\pi\delta(\epsilon-\epsilon_k)$$
so the density of states,
$$D(\epsilon)=\frac{1}{V}\sum_k\delta(\epsilon-\epsi …