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Does it violate what?
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That Ψ has to remain finite?
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No. You'll see in a second.
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Okay, so anyhow the constant potential energy
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is greater than the total energy for that.
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Now, how about if it were minus exponential, e-x?
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Now what would it be? It would be the same deal again,
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it would still be -C/m, and again it would be
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a constant potential energy greater than the total energy.
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This is not just a mathematical curiosity,
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it actually happens for every atom in you, or in me.
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Every atom has the electrons spend some of their time