Momentum representation of the harmonic oscillator wavefunctions. (a) find the momentum representation of the ground-state wavefunction of the harmonic oscillator, ie. po. hint: proceed analogous to how we solved for (2 points) the position wavefunction in class. (b) find 〈 1) by applying the raising operator in the momentum basis l point (c) transform 〈 0) and 〈pl1〉 into the position basis and compare your results with problem #1, part (a). you may use software to carry out the integrals. 1 point (d) calculate the products arap for lo) and |1) using the representations you found in problem #1 and this one. you may use software to carry out the integrals. compare with what we found in class using the raising/lowering (1 point) operator method.