3. Let's have another swing at the one-dimensional harmonic oscillator. Suppose that the oscillator is prepared in one of the eigenstates of the Hamiltonian, W) = |n), where n E {U,1,2,. ..}. (a) What is the variance in the energy of the system in the state M)? Hint: Recall that the Hamiltonian operator is an observable that corresponds to the total energy of the system. (b) Express the position operator q and the momentum operator p in terms of the ladder operators 0" and ii"