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Display information for equation id:math.1627.32 on revision:1627

* Page found: Eigenwerte und Eigenzustände von hermiteschen Operatoren (eq math.1627.32)

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TeX (original user input):

\Rightarrow \left[ \hat{F},\hat{G} \right]\left| n \right\rangle =\hat{F}\hat{G}\left| n \right\rangle -\hat{G}\hat{F}\left| n \right\rangle =\hat{F}\hat{G}\left| n \right\rangle -{{F}_{n}}\hat{G}\left| n \right\rangle =0

TeX (checked):

\Rightarrow \left[{\hat {F}},{\hat {G}}\right]\left|n\right\rangle ={\hat {F}}{\hat {G}}\left|n\right\rangle -{\hat {G}}{\hat {F}}\left|n\right\rangle ={\hat {F}}{\hat {G}}\left|n\right\rangle -{{F}_{n}}{\hat {G}}\left|n\right\rangle =0

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MathML (2.02 KB / 308 B) :

[F^,G^]|n=F^G^|nG^F^|n=F^G^|nFnG^|n=0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>&#x21D2;</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><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="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">&#x27E9;</mo></mrow><mo>&#x2212;</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">&#x27E9;</mo></mrow><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="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">&#x27E9;</mo></mrow><mo>&#x2212;</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><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">&#x27E9;</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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Identifiers

  • F^
  • G^
  • n
  • F^
  • G^
  • n
  • G^
  • F^
  • n
  • F^
  • G^
  • n
  • Fn
  • G^
  • n

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