240b_ps2 - Physics 240B Problem Set #2 (20) 1. M. L. Cohen...

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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 = (-1/2H y , 1/2H x , O). (20) 2. Show that for an electron in a magnetic field H r k x r k = " ieH c . (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/H period 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 0 and f = f (local equilibrium) and
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This note was uploaded on 08/01/2008 for the course PHYSICS 240B taught by Professor Cohen during the Spring '08 term at University of California, Berkeley.

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