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Display information for equation id:math.2606.24 on revision:2606
* Page found: Prüfungsfragen:Quantenmechanik (eq math.2606.24)
(force rerendering)Occurrences on the following pages:
Hash: 18f8bf187b72bf744319e5dc79ac2c4f
TeX (original user input):
\mathcal{L} = \frac{1}{2} \left[ (\partial_t \varphi)^2 - (\partial_x \varphi)^2 - (\partial_y \varphi)^2 - (\partial_z \varphi)^2 - m^2 \varphi^2 \right]\ =\frac{1}{2} \left[ (\partial_\mu \varphi)(\partial^\mu \varphi) - m^2 \varphi^2 \right]\,
TeX (checked):
{\mathcal {L}}={\frac {1}{2}}\left[(\partial _{t}\varphi )^{2}-(\partial _{x}\varphi )^{2}-(\partial _{y}\varphi )^{2}-(\partial _{z}\varphi )^{2}-m^{2}\varphi ^{2}\right]\ ={\frac {1}{2}}\left[(\partial _{\mu }\varphi )(\partial ^{\mu }\varphi )-m^{2}\varphi ^{2}\right]\,
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MathML (2.372 KB / 408 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"><mi data-mjx-variant="-tex-calligraphic" mathvariant="script">ℒ</mi></mrow></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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>φ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mo stretchy="false">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mi>φ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mo stretchy="false">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mi>φ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mo stretchy="false">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mi>φ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>φ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow><mspace width="0.5em"/><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mi>φ</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mi>φ</mi><mo stretchy="false">)</mo><mo>−</mo><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>φ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow><mspace width="0.167em"></mspace></mstyle></mrow></math>
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