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Determine the zero-point energy for an electron in a 1-D box ofdimension L = 10-15m. Suppose that the center of the boxis not at the bottom of an infinite potential well, but rather onethat has a height equal to the strength of the Coulomb attraction between an electron and a proton at the same distance L. What does this problem have to do with the question of why an electron in the hydrogen atom does not tumble to its death in the nucleus?

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