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IFoS · Paper II · Quantum Mechanicsifos-2025-subject-05-001

Density of states — UPSC Physics Optional IFoS 2025 Paper II

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(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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