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maybe you won't be surprised at that.
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So that's quite simple. What's the left?
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It looks like H times Ψ. If that were true,
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what could you do to simplify things?
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Knock out Ψ. But HΨ is not H times Ψ.
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H is sort of recipe for doing something with Ψ;
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we'll see that right away.
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So you can't just cancel out the Ψ, unfortunately.
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Okay, so ΗΨ=EΨ. Oops sorry, what did I do,
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Now we can divide, you can divide the right by Ψ,
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and since it was E times Ψ,
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the Ψ goes away.