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66 Nonrelativistic Electron Gas (Stony Brook, Wisconsin-Madison, Michigan State) a) Derive the relation between pressure and volume of a free nonrelativistic electron gas at zero temperature. b) The formula obtained in (a) is approximately correct for sufficiently low temperatures (the so-called strongly degenerate gas). Discuss the applicability of this formula to common metals. 67 33 Ultrarelativistic Electron Gas (Stony Brook) Derive the relation between pressure and volume of a free ultrarelativistic electron gas at zero temperature.

The back of the handkerchief estimates he was able to make quickly for of such a panel showed that if and = 373 K (air temperature 293 K) this panel would be able to levitate itself and a payload (the Baron) of about kg. How did he arrive at this? Is it really possible? 13 in Part I was peacefully drinking tea at five o’clock galactic time, as was his wont, when he had an emergency outside the shuttle, and he had to do an EVA to deal with it. Upon leaving the ship, his jetpack failed, and nothing remained to connect him to the shuttle.

65 Two-Dimensional Fermi Gas (MIT, Wisconson-Madison) Consider a noninteracting nonrelativistic gas of N spin-1/2 fermions at T = 0 in a box of area A. a) Find the Fermi energy. b) Show that the total energy is given by c) Qualitatively discuss the behavior of the heat capacity of this system at low temperatures. 66 Nonrelativistic Electron Gas (Stony Brook, Wisconsin-Madison, Michigan State) a) Derive the relation between pressure and volume of a free nonrelativistic electron gas at zero temperature.