In isolated time evolution, the Schrödinger equation takes one state ψ(adsbygoogle = window.adsbygoogle || []).push({}); _{1}to ψ_{2}. But it does this with certainty, no? So, if one uses the standard interpretation of the inner product as probability, would that say that <ψ_{2}| ψ_{1}> = 1. But this would mean that the two states are equivalent, which they aren't. So, something is wrong here. I'd be grateful to find out what.

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# Should |<A|B>|^2 always be interpreted as probability?

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