Use Matlab to solve the 1D Schrodinger equation by finite differences. Hint: you'll set up an N x N matrix, where the elements index the position x, and N is the mesh size. Diagonalize the matrix to find the eigenvalues and eigenvectors. The eigenvalues correspond to the energies En, and the eigenvectors correspond to the wavefunction n(x). Print out your code where you assemble and diagonalize the matrix. Then run your calculation for the following conditions.