The most general wave function of a particle in the simple harmonic oscillator potential is Show that the expectation value of position is where the real constants C and ϕ are given by Thus the expectation value of position for a particle in the harmonic oscillator oscillates at the classical frequency ω (as you would expect from Ehrenfest’s theorem; see problem 3.19(b)). Hint: Use Equation 3.114. As an example, find C and ϕ for the wave function in Problem 2.40.