Consider a particle of mass m in a one-dimensional harmonic oscillator with the Hamiltonian p 1 H = +-mo?x? ?x 2m 2 = The particle is in the eigenstate y(x) = Ae-or? /2, x where a = molħ 9 = (a) What is the constant A? (b) Obtain the energy eigenvalue of the particle in the above state. Note: For this you don't need to know A! (c) What is the average value of potential energy of the particle in this state? (d) What relationship does the answer in (c) bears to the eigenvalue obtained in