cse • paper_2 • quantum_mechanicscse-2018-subject-05-010
Density of states — UPSC CSE 2018 Physics PYQ
Buy PYQ Solution Manual →Show that for free electron gas, the density of states in three dimensions (3D) varies as E^{1/2}, and this dependence changes to E^0 for 2D (quantum well), E^{-1/2} for 1D (quantum wire) and \delta function for 0D (quantum dot).
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