PHYSICS 295B Lecture 14: Fermi Liquid Theory

How would the position of Fermi level EF with respect to the intrinsic energy level Ei change, if instead of Boltzmann statistics, Fermi-Dirac statistics were used?

3.What is the Fermi speed, i.e., the speed of a conduction electron whose energy is equal to the Fermi energy EF, for (a) Na, (b) Au, and (c) Sn?

Plot nFD(E)/V for electrons whose Fermi energy is 4.8 eV from E=4.5eV to 5.1
eV at T=300 K. Determine from the graph the number of electrons perunit
volume just below the Fermi energy that can move to states justabove the
Fermi energy.