The wavefunction of a harmonic oscillator at t-0 is lp(x,0)) =v2 a 10)-1a12) where als a constant. a) (5 pts) determine the normalized wavefunction b) (5 pts) what is ψ(x, t) for all time t? c) (10 pts) determine the expectation value (e) at t0 d) (10 pts) determine p lp(x, 0)) e) (5 pts) what is the probability that a measurement of energy will yield hodg at t0? express your answer as a percentage %. ) (5 pts) suppose at time t t, an energy measurement is made and we find that it is hag be the state of the particle for t> t1?