Sketch |y(x)|² for the n = 9 state of a simple harmonic oscillator. Point out characteristic features including variations in the wave function amplitude, variations in the wavelength, and the number of nodes. Label the points corresponding to |x|= A, the amplitude of the oscillation. On the same plot, sketch the classical probability density. Briefly discuss the relationship between the two plots in terms of the correspondence principle.

Next, estimate the quantum number n for a macroscopic mass on a spring. Give a numerical answer, stating reasonable value for quantities needed in your estimate.

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