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TeX (original user input): 

\left\langle {{{\hat{A}}}_{S}} \right\rangle ={}_{t}{{\left\langle \psi |{{{\hat{A}}}_{S}}|\psi  \right\rangle }_{t}}={}_{0}{{\left\langle \psi \left| \underbrace{{{{\hat{U}}}^{+}}{{{\hat{A}}}_{S}}\hat{U}}_{:={{{\hat{A}}}_{H}}} \right|\psi  \right\rangle }_{0}}=\left\langle {{{\hat{A}}}_{H}} \right\rangle

TeX (checked): 

\left\langle {{\hat {A}}_{S}}\right\rangle ={}_{t}{{\left\langle \psi |{{\hat {A}}_{S}}|\psi \right\rangle }_{t}}={}_{0}{{\left\langle \psi \left|\underbrace {{{\hat {U}}^{+}}{{\hat {A}}_{S}}{\hat {U}}} _{:={{\hat {A}}_{H}}}\right|\psi \right\rangle }_{0}}=\left\langle {{\hat {A}}_{H}}\right\rangle

LaTeXML (experimentell; verwendet MathML) rendering

MathML (14.596 KB / 2.111 KB) :

⟨ A ^ S ⟩ = ⟨ ψ | A ^ S | ψ ⟩ t t = ⟨ ψ | U ^ + ⁢ A ^ S ⁢ U ^ ⏟ := A ^ H | ψ ⟩ 0 0 = ⟨ A ^ H ⟩ fragments fragments ⟨ subscript ^ 𝐴 𝑆 ⟩ subscript subscript fragments ⟨ ψ | subscript ^ 𝐴 𝑆 | ψ ⟩ 𝑡 𝑡 subscript subscript fragments ⟨ ψ | subscript ⏟ superscript ^ 𝑈 subscript ^ 𝐴 𝑆 ^ 𝑈 assign absent subscript ^ 𝐴 𝐻 | ψ ⟩ 0 0 fragments ⟨ subscript ^ 𝐴 𝐻 ⟩ {\displaystyle{\displaystyle\left\langle{{{\hat{A}}}_{S}}\right\rangle={}_{t}{% {\left\langle\psi|{{{\hat{A}}}_{S}}|\psi\right\rangle}_{t}}={}_{0}{{\left% \langle\psi\left|\underbrace{{{{\hat{U}}}^{+}}{{{\hat{A}}}_{S}}\hat{U}}_{:={{{% \hat{A}}}_{H}}}\right|\psi\right\rangle}_{0}}=\left\langle{{{\hat{A}}}_{H}}% \right\rangle}} 
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    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\left\langle{{{\hat{A}}}_{S}}\right\rangle={}_{t}{%
{\left\langle\psi|{{{\hat{A}}}_{S}}|\psi\right\rangle}_{t}}={}_{0}{{\left%
\langle\psi\left|\underbrace{{{{\hat{U}}}^{+}}{{{\hat{A}}}_{S}}\hat{U}}_{:={{{%
\hat{A}}}_{H}}}\right|\psi\right\rangle}_{0}}=\left\langle{{{\hat{A}}}_{H}}%
\right\rangle}}</annotation>
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MathML (2.482 KB / 387 B) :

⟨A^S⟩=t⟨ψ|A^S|ψ⟩t=0⟨ψ|U^+A^SU^⏟:=A^H|ψ⟩0=⟨A^H⟩
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Calculated based on the variables occurring on the entire Bilder page

Identifiers

  • A^S
  • t
  • ψ
  • A^S
  • ψ
  • t
  • ψ
  • U^
  • A^S
  • U^
  • A^H
  • ψ
  • A^H

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“