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hilbert_space_expectation_value [2013/09/11 17:05] nikolaj |
hilbert_space_expectation_value [2014/03/21 11:11] |
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| - | ===== Hilbert space expectation value ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $V$...Hilbert space | | ||
| - | | @#FFBB00: $\langle\cdot\rangle_{-}:\mathrm{Observable}(V)\times V\to\mathbb R$ | | ||
| - | | @#FFBB00: $\langle A \rangle_{\psi}:=\langle \psi | A\ \psi \rangle$ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | === Theorems === | ||
| - | ^ $A\ \psi=\lambda\ \psi \implies (\langle A \rangle_{\psi}=\lambda)\,\land\,(\Delta_\psi A=0)$ ^ | ||
| - | ==== Parents ==== | ||
| - | === Requirements === | ||
| - | [[Hilbert space]], [[Observable]] | ||
