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Display information for equation id:math.1632.12 on revision:1632

* Page found: Eigenwerte und Eigenzustände von hermiteschen Operatoren (eq math.1632.12)

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Hash: 3c5f50d923c4742f102a979eddc762db

TeX (original user input):

\begin{align}
& \hat{F}\left| {{\Psi }_{1}} \right\rangle ={{F}_{1}}\left| {{\Psi }_{1}} \right\rangle  \\
& \hat{F}\left| {{\Psi }_{2}} \right\rangle ={{F}_{2}}\left| {{\Psi }_{2}} \right\rangle  \\
& \Rightarrow \left\langle  {{\Psi }_{2}} \right|\hat{F}={{F}_{2}}\left\langle  {{\Psi }_{2}} \right| \\
\end{align}

TeX (checked):

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

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MathML (2.341 KB / 389 B) :

F^|Ψ1=F1|Ψ1F^|Ψ2=F2|Ψ2Ψ2|F^=F2Ψ2|
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mo>=</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Eigenwerte und Eigenzustände von hermiteschen Operatoren page

Identifiers

  • F^
  • Ψ1
  • F1
  • Ψ1
  • F^
  • Ψ2
  • F2
  • Ψ2
  • Ψ2
  • F^
  • F2
  • Ψ2

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