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Display information for equation id:math.1726.64 on revision:1726
* Page found: Zeitabhängige Störungsrechnung (eq math.1726.64)
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Hash: 94ed49e98df1e7ed214434d91527c825
TeX (original user input):
\Rightarrow {{\left| \left\langle n \right|{{\left| \Psi \right\rangle }_{t}} \right|}^{2}}={{\left| {{g}_{n}}(t) \right|}^{2}}=\frac{2\pi }{\hbar }{{\left| \left\langle n \right|{{{\hat{H}}}^{1}}\left| {{n}_{0}} \right\rangle \right|}^{2}}\cdot t\cdot {{\delta }_{t}}({{E}_{n}}-{{E}_{{{n}_{0}}}})
TeX (checked):
\Rightarrow {{\left|\left\langle n\right|{{\left|\Psi \right\rangle }_{t}}\right|}^{2}}={{\left|{{g}_{n}}(t)\right|}^{2}}={\frac {2\pi }{\hbar }}{{\left|\left\langle n\right|{{\hat {H}}^{1}}\left|{{n}_{0}}\right\rangle \right|}^{2}}\cdot t\cdot {{\delta }_{t}}({{E}_{n}}-{{E}_{{n}_{0}}})
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MathML (2.245 KB / 457 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>⇒</mo><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><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</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><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><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><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><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><mo>⋅</mo><mi>t</mi><mo>⋅</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><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"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>
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