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Display information for equation id:math.1661.36 on revision:1661
* Page found: Der harmonische Oszillator (eq math.1661.36)
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Hash: 069c9f5bc84a4b2a4ab26b40d5839271
TeX (original user input):
\hat{H}\left| 0 \right\rangle =\hbar \omega \left( {{a}^{+}}a+\frac{1}{2} \right)\left| 0 \right\rangle =\frac{1}{2}\hbar \omega \left| 0 \right\rangle
TeX (checked):
{\hat {H}}\left|0\right\rangle =\hbar \omega \left({{a}^{+}}a+{\frac {1}{2}}\right)\left|0\right\rangle ={\frac {1}{2}}\hbar \omega \left|0\right\rangle
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (1.257 KB / 319 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>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mi>a</mi><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mstyle></mrow></math>
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