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further on than we are, time as well; maybe spin even.
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But that function has to be such that HΨ/Ψ is the total energy,
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and the total energy is the same,
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no matter where the particle is, right,
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because the potential energy and the kinetic energy cancel out.
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It's like a ball rolling back and forth.
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The total energy is constant but it goes back
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and forth between potential and kinetic energy, right?
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Same thing here. No matter where the particles are,
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you have to get the same energy.
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So Ψ has to be such that
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when you calculate the kinetic energy for it,