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Display information for equation id:math.1626.49 on revision:1626
* Page found: Operatoren im Hilbertraum (eq math.1626.49)
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Hash: 5b1aadc840f20ff448a08a47713d42c3
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 \hat{F}\left( {{\lambda }_{1}}\left| {{\Psi }_{1}} \right\rangle +{{\lambda }_{2}}\left| {{\Psi }_{2}} \right\rangle \right)={{\lambda }_{1}}\hat{F}\left| {{\Psi }_{1}} \right\rangle +{{\lambda }_{2}}\hat{F}\left| {{\Psi }_{2}} \right\rangle \\
\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 {\hat {F}}\left({{\lambda }_{1}}\left|{{\Psi }_{1}}\right\rangle +{{\lambda }_{2}}\left|{{\Psi }_{2}}\right\rangle \right)={{\lambda }_{1}}{\hat {F}}\left|{{\Psi }_{1}}\right\rangle +{{\lambda }_{2}}{\hat {F}}\left|{{\Psi }_{2}}\right\rangle \\\end{aligned}}
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<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="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</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 mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</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 mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><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>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 mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</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 mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><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">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><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">Ψ</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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