I.) A particle in a one-dimensional harmonic oscillator potential has as its initial state a superposition of energy eigenstates, namely the normalised ground state and the normalised second excited state a) Normalise u (X,0) b) Determine i (x,t) and ly (x,t)|2 c) Calculate (x) and (p). d) Determine the expectation value of H. V(x, 0) = N [vo(I) + 1/2(z)] V ( x, 0). (x, t) and | (x, t) |2 () ( p). H