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ifos • paper_2 • quantum_mechanics

[UPSC IFoS 2025] Schrodinger’s Wave equation and applications (Q111, 9+3+3=15M)

(i) Derive an expression for density of states for a free electron gas in one dimension. Hence, show its variation with energy for a one-dimensional metallic crystal. (ii) Where do you find the applications of free electron gas model?

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