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Display information for equation id:math.2720.8 on revision:2720

* Page found: Fermis Goldene Regel (eq math.2720.8)

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TeX (original user input):

\left| \Psi \left( t \right) \right\rangle ={{U}_{0}}U_{0}^{+}\left| \Psi \left( t \right) \right\rangle ={{U}_{0}}\left( t \right){{\left| \Psi \left( t \right) \right\rangle }_{I}}={{e}^{-\text{i}{{H}_{0}}t}}{{\left| \Psi \left( t \right) \right\rangle }_{I}}

TeX (checked):

\left|\Psi \left(t\right)\right\rangle ={{U}_{0}}U_{0}^{+}\left|\Psi \left(t\right)\right\rangle ={{U}_{0}}\left(t\right){{\left|\Psi \left(t\right)\right\rangle }_{I}}={{e}^{-{\text{i}}{{H}_{0}}t}}{{\left|\Psi \left(t\right)\right\rangle }_{I}}

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MathML (2.003 KB / 342 B) :

|Ψ(t)=U0U0+|Ψ(t)=U0(t)|Ψ(t)I=eiH0t|Ψ(t)I
<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="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msubsup><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mtext>i</mtext></mrow><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>t</mi></mrow></mrow></msup><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Fermis Goldene Regel page

Identifiers

  • Ψ
  • t
  • U0
  • U
  • Ψ
  • t
  • U0
  • t
  • Ψ
  • t
  • I
  • e
  • H0
  • t
  • Ψ
  • t
  • I

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