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Display information for equation id:math.1630.55 on revision:1630
* Page found: Eigenwerte und Eigenzustände von hermiteschen Operatoren (eq math.1630.55)
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Hash: d0f0b52f0a43ac71f580d5e8286078f1
TeX (original user input):
\hat{F}\hat{G}\left| n \right\rangle ={{F}_{n}}{{G}_{n}}\left| n \right\rangle ={{G}_{n}}{{F}_{n}}\left| n \right\rangle =\hat{G}\hat{F}\left| n \right\rangle \Rightarrow \left[ \hat{F},\hat{G} \right]=0
TeX (checked):
{\hat {F}}{\hat {G}}\left|n\right\rangle ={{F}_{n}}{{G}_{n}}\left|n\right\rangle ={{G}_{n}}{{F}_{n}}\left|n\right\rangle ={\hat {G}}{\hat {F}}\left|n\right\rangle \Rightarrow \left[{\hat {F}},{\hat {G}}\right]=0
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MathML (1.758 KB / 306 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"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>G</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>G</mi><mo>^</mo></mover></mrow></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>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>G</mi><mo>^</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>
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