Consider a quantum harmonic oscillator. a. What happens to the spacing between the nodes of the wave

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Consider a quantum harmonic oscillator.
a. What happens to the spacing between the nodes of the wave function as |x| increases? Why?
b. What happens to the heights of the antinodes of the wave function as |x| increases? Why?
c. Sketch a reasonably accurate graph of the n = 8 wave function of a quantum harmonic oscillator.

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