Physics 240B M. L. Cohen Spring 2008 Problem Set #2 Due: 02/26/08 (20)1. Find and solve the quantum equations of motion for a free electron in a magnetic field using the gauge r A = (-1/2Hy, 1/2Hx, O). (20)2. Show that for an electron in a magnetic field H r k x r k = "ieHc. (20)3. Use the Bohr-Sommerfeld quantization formula to show that the oscillations of M in the de Haas-van Alphen effect have a 1/Hperiod that gives the maximal or minimal cross-sectional area of the Fermi surface perpendicular to H. (20)4. (a) Show that "f"t#$%&’(collisions= 0 for f = f 0and f = f (local equilibrium) and
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