My QM book introduces operators like the momentum operator [itex]\hat{\mathbf{p}}[/itex] which act on their eigenstates to produce new states like [itex]\hat{\mathbf{p}}|\mathbf{p}\rangle = \mathbf{p}|\mathbf{p}\rangle[/itex]. But how can we interpret a state like that? How is multiplication between a Euclidean vector and a vector in Hilbert space defined?(adsbygoogle = window.adsbygoogle || []).push({});

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# What do vector operators mean?

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