Consider a degenerate (i.e., T = 0 K) gas of N non-interacting elec- trons in a volume V. (a) Find an equation relating
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Consider a degenerate (i.e., T = 0 K) gas of N non-interacting elec- trons in a volume V. (a) Find an equation relating
Consider a degenerate (i.e., T = 0 K) gas of N non-interacting elec- trons in a volume V. (a) Find an equation relating pressure, energy and volume of this gas for the extreme relativistic case (ignore the electron mass). (b) For a gas of real electrons (i.e., of mass m), find the condition on N and V for the result of part (a) to be approximately valid.
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