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Display information for equation id:math.1727.118 on revision:1727
* Page found: Zeitabhängige Störungsrechnung (eq math.1727.118)
(force rerendering)Occurrences on the following pages:
Hash: f0ecc10b5ace8889677ac13c2b563b00
TeX (original user input):
{{e}^{-\frac{i}{\hbar }{{{\hat{H}}}^{0}}t}}\left( 1-\frac{i}{\hbar }\int_{0}^{t}{d\tau }{{e}^{\frac{i}{\hbar }{{{\hat{H}}}^{0}}\tau }}{{{\hat{H}}}_{S}}^{1}{{e}^{-\frac{i}{\hbar }{{{\hat{H}}}^{0}}\tau }} \right):=U(t,0)
TeX (checked):
{{e}^{-{\frac {i}{\hbar }}{{\hat {H}}^{0}}t}}\left(1-{\frac {i}{\hbar }}\int _{0}^{t}{d\tau }{{e}^{{\frac {i}{\hbar }}{{\hat {H}}^{0}}\tau }}{{\hat {H}}_{S}}^{1}{{e}^{-{\frac {i}{\hbar }}{{\hat {H}}^{0}}\tau }}\right):=U(t,0)
LaTeXML (experimental; uses MathML) rendering
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MathML (experimental; no images) rendering
MathML (2.439 KB / 419 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></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>0</mn></mrow></msup><mi>t</mi></mrow></mrow></msup></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>τ</mi></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></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>0</mn></mrow></msup><mi>τ</mi></mrow></mrow></msup><msup><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></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>0</mn></mrow></msup><mi>τ</mi></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>:</mi><mo>=</mo><mi>U</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></math>
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