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Display information for equation id:math.1732.95 on revision:1732
* Page found: Zeitabhängige Störungsrechnung (eq math.1732.95)
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Hash: 45f6215aa0b04b8e857607669613c6b2
TeX (original user input):
{{W}_{nn0}}=\frac{d}{dt}{{\left| {{\left\langle n | \Psi \right\rangle }_{t}} \right|}^{2}}=\frac{2\pi }{\hbar }{{\left| \left\langle n \right|\hat{F}\left| {{n}_{0}} \right\rangle \right|}^{2}}\delta ({{E}_{n}}-{{E}_{n0}}-\hbar \omega )+\frac{2\pi }{\hbar }{{\left| \left\langle {{n}_{0}} \right|\hat{F}\left| n \right\rangle \right|}^{2}}\delta ({{E}_{n}}-{{E}_{n0}}+\hbar \omega )
TeX (checked):
{{W}_{nn0}}={\frac {d}{dt}}{{\left|{{\left\langle n|\Psi \right\rangle }_{t}}\right|}^{2}}={\frac {2\pi }{\hbar }}{{\left|\left\langle n\right|{\hat {F}}\left|{{n}_{0}}\right\rangle \right|}^{2}}\delta ({{E}_{n}}-{{E}_{n0}}-\hbar \omega )+{\frac {2\pi }{\hbar }}{{\left|\left\langle {{n}_{0}}\right|{\hat {F}}\left|n\right\rangle \right|}^{2}}\delta ({{E}_{n}}-{{E}_{n0}}+\hbar \omega )
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MathML (3.193 KB / 479 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"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>n</mi><mo>|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><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><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">|</mo></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><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><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><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><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></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 data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><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></mrow></math>
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