Unformatted text preview: d) Calculate the lowtemperature speciﬁc heat for the case when only the ground state in x and y directions is occupied (algebraic answer in terms of a and the electron density OK). Problem 2: Electronic density of states (10 points) Calculate the electronic density of states of the free electron gas in one and two spatial dimensions. Discuss the character of the vanHove singularity at ± = 0 in these cases. Problem 3: Pressure of ideal Fermi gas (Marder, problem 6.3, 10 points) Find the pressure of the free electron gas in three dimensions at zero temperature. Hint: Start from a thermodynamic relation, e.g., p =( ∂E/∂V ) N (at zero temperature)....
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 Spring '11
 ThomasVojta
 Physics, Thermodynamics, Work, Fundamental physics concepts, Condensed matter physics, free electron gas, Marder

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