The quantum mechanics of particles in a periodic potential: Bloch’s theorem
John Singleton
Abstract
Abstract In this chapter we shall set up the formalism for dealing with a periodic potential; this is known as Bloch’s theorem. The next three chapters are going to appear to be hard work from a conceptual point of view. However, although the algebra looks complicated, the underlying ideas are really quite simple; after some reflection, you should be able to reproduce the various derivations yourself.