Problem 2.2 Consider a three-dimensional ideal gas of electrons contained in a box of side-length L, and held at zero te

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Problem 2 2 Consider A Three Dimensional Ideal Gas Of Electrons Contained In A Box Of Side Length L And Held At Zero Te 1 (51.19 KiB) Viewed 39 times

Please do 2.2. Thank you in advance
Problem 2.2 Consider a three-dimensional ideal gas of electrons contained in a box of side-length L, and held at zero temperature. 1. Find the number of single-particle states (k,o) with energy less than E. 2. Use your answer to part (a) to find the density of states of the gas. 3. Express the Fermi energy as a function of the density of the gas. 4. Use your answer to part (b) to express the total energy of the gas as a function of the Fermi energy. 5. Express the pressure of the gas, at zero temperature, as a function of its density.