1. The problem statement, all variables and given/known data We study a one dimensional metal with length L at 0 K, and ignore the electron spin. Assume that the electrons do not interact with each other. The electron states are given by What is the density of states at the Fermi level for this metal? 3. The attempt at a solution According to my book, the total energy of the system is why is this? It's evident that k = n*2*pi because of the boundary contidions. I don't know what to do next.