Instead of a commutation relation a, at] = 1, which is true for photons, assume that the creation and annihilation operators satisfy aat + ata = 1. Show that the number operator N = a a satisfies aN = (1 -N)a atN = (1 -N)at Prove that if one eigenvalue of N is n = 0, there is only one other eigenvalue, n = 1. (This means that there cannot be more than one particle in the particular state associated with the operators at and a.)