Analysis of Electron Orbits in Magnetic Fields: Bravais Lattice

[Nusc]

Homework Statement

IF we consider electrons in a crystal subject to a magnetic field. The electrons near the fermi energy wil obey open or closed orbits.
Using semiclassical eqn of motion and band structure for a bravais lattice, discuss the behavour and derive all conserved quantities.

Homework Equations

hbar * dk/dt = -q(1/c * v x B )

The Attempt at a Solution

I have no idea which bravais lattice would be ideal for this problem.

 

[genneth]

Try the simplest possible: a cubic one. Actually, you might like to try a 2D problem first, with a square lattice, and the magnetic field perpendicular to the plane. Further hint: magnetic fields do no work.