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Display information for equation id:math.2707.60 on revision:2707

* Page found: Formaler Aufbau der Quantenmechanik (eq math.2707.60)

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Hash: c6d21a9ebd1d1e749c2071dd6610cdf2

TeX (original user input):

{{\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}}

TeX (checked):

{{\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}}

LaTeXML (experimental; uses MathML) rendering

MathML (10.675 KB / 1.639 KB) :

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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MathML (1.863 KB / 345 B) :

Φ2=Φ|Φ=Φ|1_|Φ=nΦ|nn|Φ=n|n|Φ|2
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Identifiers

  • Φ
  • Φ
  • Φ
  • Φ
  • 1_
  • Φ
  • n
  • Φ
  • n
  • n
  • Φ
  • n
  • n
  • Φ

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