The quantized energy levels in the infinite well get farther apart as n increases, but in the harmonic oscillator they are equally spaced, (a) Explain the difference by considering the distance "between the walls" in each case and how it depends on the particle's energy.(b) A very important bound system, the hydrogen atom, has energy levels that actually get closer together as n increases. How do you think the separation between the potential energy "walls" in this system varies relative to the other two? Explain.
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