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Display information for equation id:math.1737.13 on revision:1737
* Page found: Induzierte Emission und Absorption von Lichtquanten in Atomen (eq math.1737.13)
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Hash: ab8e6195d13197af9e393e49ac0138c0
TeX (original user input):
{{W}_{nn0}}=\frac{2\pi }{\hbar }\frac{{{({{E}_{n}}-{{E}_{n0}})}^{2}}}{4{{\left( \hbar \omega \right)}^{2}}}{{\left( {{{\bar{E}}}_{0}}\cdot {{{\bar{d}}}_{nn0}} \right)}^{2}}\left\{ \delta ({{E}_{n}}-{{E}_{n0}}-\hbar \omega )+\delta ({{E}_{n}}-{{E}_{n0}}+\hbar \omega ) \right\}
TeX (checked):
{{W}_{nn0}}={\frac {2\pi }{\hbar }}{\frac {{({{E}_{n}}-{{E}_{n0}})}^{2}}{4{{\left(\hbar \omega \right)}^{2}}}}{{\left({{\bar {E}}_{0}}\cdot {{\bar {d}}_{nn0}}\right)}^{2}}\left\{\delta ({{E}_{n}}-{{E}_{n0}}-\hbar \omega )+\delta ({{E}_{n}}-{{E}_{n0}}+\hbar \omega )\right\}
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MathML (2.625 KB / 438 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>n</mi><mn>0</mn></mrow></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mn>0</mn></mrow></mrow></msub><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>⋅</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>d</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>n</mi><mn>0</mn></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>δ</mi><mo stretchy="false">(</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mn>0</mn></mrow></mrow></msub><mo>−</mo><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mo stretchy="false">)</mo><mo>+</mo><mi>δ</mi><mo stretchy="false">(</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mn>0</mn></mrow></mrow></msub><mo>+</mo><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></mrow></math>
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