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Hello i wonder if anyone here can explain to me, why the wavefunction as a function of position is defined like this:
$$\Psi(x,t) = \langle{x}|{\Psi(t)}\rangle$$
Why is it wise to use an inner product as a definition?
$$\Psi(x,t) = \langle{x}|{\Psi(t)}\rangle$$
Why is it wise to use an inner product as a definition?