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observable [2016/01/18 22:05] nikolaj |
observable [2016/01/18 22:08] nikolaj |
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| | @#FFBB00: definiendum | @#FFBB00: $\mathrm{Observable}(V)\equiv\mathrm{SelfAdjoint}(V)\cap\mathrm{End}(V)$ | | | @#FFBB00: definiendum | @#FFBB00: $\mathrm{Observable}(V)\equiv\mathrm{SelfAdjoint}(V)\cap\mathrm{End}(V)$ | | ||
| + | ----- | ||
| + | === Discussion === | ||
| Observables are the linear self-adjoint operators. | Observables are the linear self-adjoint operators. | ||
| - | ==== Discussion ==== | ||
| {{ matura_im_mai.jpg?X400}} | {{ matura_im_mai.jpg?X400}} | ||
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| * $\frac{\langle \psi | A\ \psi \rangle}{\Vert\psi\Vert^2}\in \mathbb R$ is called [[Hilbert space mean value|mean value]]. | * $\frac{\langle \psi | A\ \psi \rangle}{\Vert\psi\Vert^2}\in \mathbb R$ is called [[Hilbert space mean value|mean value]]. | ||
| + | |||
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Self-adjoint_operator|Self-adjoint operator]], [[http://en.wikipedia.org/wiki/Observable|Observable]] | Wikipedia: [[http://en.wikipedia.org/wiki/Self-adjoint_operator|Self-adjoint operator]], [[http://en.wikipedia.org/wiki/Observable|Observable]] | ||
| - | ==== Parents ==== | + | |
| + | ----- | ||
| === Subset of === | === Subset of === | ||
| [[Self-adjoint operator]], [[Vector space endomorphism]] | [[Self-adjoint operator]], [[Vector space endomorphism]] | ||
