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Hilbert space expectation value
Definition
$V$…Hilbert space |
$\langle\cdot\rangle_{-}:\mathrm{Observable}(V)\times V\to\mathbb R$ |
$\langle A \rangle_{\psi}:=\langle \psi | A\ \psi \rangle$ |
Discussion
Theorems
$A\ \psi=\lambda\ \psi \implies \langle A \rangle_{\psi}=\lambda\ \land\ \Delta_\psi A=0$