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Display information for equation id:math.1632.11 on revision:1632
* Page found: Eigenwerte und Eigenzustände von hermiteschen Operatoren (eq math.1632.11)
(force rerendering)Occurrences on the following pages:
Hash: 492c345db3815347b70b57b02f56f647
TeX (original user input):
\begin{align}
& \left\langle \Psi \right|\hat{F}\left| \Psi \right\rangle =\alpha \left\langle \Psi | \Psi \right\rangle =\alpha =\left\langle \Psi \right|{{{\hat{F}}}^{+}}\left| \Psi \right\rangle =\left\langle \Psi \right|\hat{F}\left| \Psi \right\rangle *=\alpha * \\
& \Rightarrow \alpha \in R \\
\end{align}
TeX (checked):
{\begin{aligned}&\left\langle \Psi \right|{\hat {F}}\left|\Psi \right\rangle =\alpha \left\langle \Psi |\Psi \right\rangle =\alpha =\left\langle \Psi \right|{{\hat {F}}^{+}}\left|\Psi \right\rangle =\left\langle \Psi \right|{\hat {F}}\left|\Psi \right\rangle *=\alpha *\\&\Rightarrow \alpha \in R\\\end{aligned}}
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MathML (2.147 KB / 399 B) :
<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><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><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mi>α</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo>|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mi>α</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><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><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><mo>=</mo><mi>α</mi><mo>*</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>α</mi><mo>∈</mo><mi>R</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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