2 Consider a long-range hopping within a 1D tight-binding model. The electron band dispersion is characterized by relation, where= hopping matrix element between nth nearest neighbors. Assume for simplicity that lattice constant The band dispersion for the whole 1 st Brillouin zone can be designed to be parabolic, i.e. by carefully selecting values of . Determine as a function of n which takes care of this by treating band dispersion in the form of a Fourier series