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Display information for equation id:math.2705.60 on revision:2705

* Page found: Formaler Aufbau der Quantenmechanik (eq math.2705.60)

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{{\left\| \Phi  \right\|}^{2}}=\left\langle  \Phi  | \Phi  \right\rangle =\left\langle \Phi |\underline{1}|\Phi  \right\rangle =\sum\limits_{n}{\left\langle  \Phi  | n \right\rangle }\left\langle  n | \Phi  \right\rangle ={{\sum\limits_{n}{\left| \left\langle  n | \Phi  \right\rangle  \right|}}^{2}}

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∥ Φ ∥ 2 = ⟨ Φ | Φ ⟩ = ⟨ Φ | 1 ¯ | Φ ⟩ = ∑ n ⟨ Φ | n ⟩ ⁢ ⟨ n | Φ ⟩ = ∑ n | ⟨ n | Φ ⟩ | 2 superscript norm Φ 2 inner-product Φ Φ quantum-operator-product Φ ¯ 1 Φ subscript 𝑛 inner-product Φ 𝑛 inner-product 𝑛 Φ subscript 𝑛 superscript inner-product 𝑛 Φ 2 {\displaystyle{\displaystyle{{\left\|\Phi\right\|}^{2}}=\left\langle\Phi|\Phi% \right\rangle=\left\langle\Phi|\underline{1}|\Phi\right\rangle=\sum\limits_{n}% {\left\langle\Phi|n\right\rangle}\left\langle n|\Phi\right\rangle={{\sum% \limits_{n}{\left|\left\langle n|\Phi\right\rangle\right|}}^{2}}}} 
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‖Φ‖2=⟨Φ|Φ⟩=⟨Φ|1_|Φ⟩=∑n⟨Φ|n⟩⟨n|Φ⟩=∑n|⟨n|Φ⟩|2
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