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Display information for equation id:math.1626.50 on revision:1626

* Page found: Operatoren im Hilbertraum (eq math.1626.50)

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Hash: 430e8c9e911eeef94dbaf7628ae45f8b

TeX (original user input):

\begin{align}

& \left| \Psi  \right\rangle ={{\lambda }_{1}}\left| {{\Psi }_{1}} \right\rangle +{{\lambda }_{2}}\left| {{\Psi }_{2}} \right\rangle  \\

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

\end{align}

TeX (checked):

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

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MathML (2.332 KB / 409 B) :

|Ψ=λ1|Ψ1+λ2|Ψ2Ψ|F̂+=λ1Ψ1|F̂++λ2Ψ2|F̂+
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mover><mi>F</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup><mo stretchy="false">=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mover><mi>F</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup><mo stretchy="false">+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mover><mi>F</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Operatoren im Hilbertraum page

Identifiers

  • Ψ
  • λ1
  • Ψ1
  • λ2
  • Ψ2
  • Ψ
  • F̂
  • λ1
  • Ψ1
  • F̂
  • λ2
  • Ψ2
  • F̂

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