Condensed Matter

Question 1

Draw, label and explain the free electron dispersion graph

Answer 1

k = n(pi)/a

also

psi₁= e^ikx + e^-ikx = 2cos(pi i x/a) = 0 = node

psi₂ = e^ikx + e^-ikx = 2sin(pi i x/a) = 2 = antinode

probability = psi²