only b,c&d

Problem 1: The quantum mechanical simple harmonic oscillator a) Use the recursion relation to write 4, for the 5 lowest energy wavefunctions of the SHO. b) Describe the physical behavior of the 3 lowest energy wavefunctions of the SHO from the shape of yy. c) Explain why the higher energy states of the SHO spend more time near the classical turning points. d) Show that the ground state and first excited state are eigenfunctions of the Hamiltonian