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observable [2016/01/18 22:05]
nikolaj
observable [2016/01/18 22:08]
nikolaj
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 | @#55CCEE: context ​    | @#55CCEE: $V$...Hilbert space | | @#55CCEE: context ​    | @#55CCEE: $V$...Hilbert space |
 | @#FFBB00: definiendum | @#FFBB00: $\mathrm{Observable}(V)\equiv\mathrm{SelfAdjoint}(V)\cap\mathrm{End}(V)$ | | @#FFBB00: definiendum | @#FFBB00: $\mathrm{Observable}(V)\equiv\mathrm{SelfAdjoint}(V)\cap\mathrm{End}(V)$ |
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-Observables are the linear self-adjoint operators. 
  
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 === Discussion === === Discussion ===
 +Observables are the linear self-adjoint operators.
 +
 {{ 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]].
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 === 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]]
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