Consider a particle of mass m in the potential of the harmonic oscillator with frequency w. The system is described by the Hamiltonian, 1 H=M(N+). 1. Calculate the matrix representation of the position operator, ac, and the momentum operator, p, in the basis {|n)} of the eigenstate of the occupation number operator N. 2. Verify the commutator relation by the corresponding matrix multipli- cations, [53,19] = 13h