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The total energy is lower than the potential energy.
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The difference is negative. Okay?
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So the kinetic energy, if that's the difference,
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between potential and total, is negative.
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You never get that for p=1/2mv2. Yes?
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Does this violate that Ψ has to remain finite?
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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?