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Display information for equation id:math.1626.61 on revision:1626

* Page found: Operatoren im Hilbertraum (eq math.1626.61)

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Hash: 0a04743274dfd64ddc831f8eccfc495a

TeX (original user input):

\begin{align}

& \hat{F}\left| {{\Psi }_{2}} \right\rangle :=\left| \Phi  \right\rangle \Leftrightarrow \left\langle  {{\Psi }_{2}} \right|{{{\hat{F}}}^{+}}=\left\langle  \Phi  \right| \\

& \Rightarrow \left\langle  {{\Psi }_{1}} | \Phi  \right\rangle =\left\langle  \Phi  | {{\Psi }_{1}} \right\rangle *=\left\langle  {{\Psi }_{2}} \right|{{{\hat{F}}}^{+}}\left| {{\Psi }_{1}} \right\rangle * \\

\end{align}

TeX (checked):

{\begin{aligned}&{\hat {F}}\left|{{\Psi }_{2}}\right\rangle :=\left|\Phi \right\rangle \Leftrightarrow \left\langle {{\Psi }_{2}}\right|{{\hat {F}}^{+}}=\left\langle \Phi \right|\\&\Rightarrow \left\langle {{\Psi }_{1}}|\Phi \right\rangle =\left\langle \Phi |{{\Psi }_{1}}\right\rangle *=\left\langle {{\Psi }_{2}}\right|{{\hat {F}}^{+}}\left|{{\Psi }_{1}}\right\rangle *\\\end{aligned}}

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MathML (2.423 KB / 426 B) :

F̂|Ψ2:=|ΦΨ2|F̂+=Φ|Ψ1|Φ=Φ|Ψ1=Ψ2|F̂+|Ψ1
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Calculated based on the variables occurring on the entire Operatoren im Hilbertraum page

Identifiers

  • F̂
  • Ψ2
  • Φ
  • Ψ2
  • F̂
  • Φ
  • Ψ1
  • Φ
  • Φ
  • Ψ1
  • Ψ2
  • F̂
  • Ψ1

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