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The average energy per electron for the 3D electron gas at T=0 is 3*(E fermi) /...

The average energy per electron for the 3D electron gas at T=0 is 3*(E fermi) / 5, where E fermi is the Fermi energy. Now, calculate the average energy per unit volume for electron gas in 1, 2, and 3 dimensions at zero temperature. Your answer should be proportional to the Fermi energy, E fermi, and/or the electron concentration n = N / V (possibly to some power).

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