Question: Compare the screening length for a three-dimensional electron gas at room temperature, in the MaxwellBoltzmann limit with density n = 10 18 cm 3 ,

Compare the screening length for a three-dimensional electron gas at room temperature, in the Maxwell–Boltzmann limit with density n = 10¹⁸ cm⁻³, with that of a two-dimensional electron gas with the same density, in a quantum well with width 10 nm, that is, an area density of 10¹² cm⁻², also in the Maxwell–Boltzmann limit. Can you justify using the Maxwell–Boltzmann limit in both of these cases?

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