513.001 Molecular and Solid State Physics

Return to
problem list

Wolfram Alpha

Physical
Constants

Periodic System
of Elements

      

Kittel problem 4.3

Consider a linear chain of with two atoms per unit cell.

Find the ratio of the amplitudes u/v. This is essentially the same as finding the eigenvectors of the matrix. What happens at a wavevector of π/a? Show that at this value of k the two sublattices act as if decoupled.