1. Tight-Binding in Dirac-Delta Potentials Atoms are arranged in a one-dimensional chain with a lattice spacing a. Each atom is represented by the potential V(x)= aVo8(x). The ground state wavefunction of the single-atom problem has the form where A and к are constants. y = Ae** ε a) Determine the values of A and к for the single atom. (Hint: Integrate the Schrodinger equation for the single atom between -ɛ and ɛ then let & approach 0). Determine the bandwidth of the lowest energy band of the material in the tight-binding approximation