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Display information for equation id:math.1745.35 on revision:1745

* Page found: Zeitunabhängige Störungsrechnung ohne Entartung (eq math.1745.35)

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Hash: f0e155b6dff1dd6a118c038fb314adf0

TeX (original user input):

\left| {{\Psi }_{k}}^{(1)} \right\rangle =\sum\limits_{n\ne k}{{}}\left| n \right\rangle \frac{\left\langle  n \right|\hat{V}\left| k \right\rangle }{{{E}_{k}}^{(0)}-{{E}_{n}}^{(0)}}

TeX (checked):

\left|{{\Psi }_{k}}^{(1)}\right\rangle =\sum \limits _{n\neq k}{}\left|n\right\rangle {\frac {\left\langle n\right|{\hat {V}}\left|k\right\rangle }{{{E}_{k}}^{(0)}-{{E}_{n}}^{(0)}}}

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MathML (1.825 KB / 405 B) :

|Ψk(1)=nk|nn|V^|kEk(0)En(0)
<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><msup><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>&#x2260;</mo><mi>k</mi></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>k</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>&#x2212;</mo><msup><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup></mrow></mrow></mfrac></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Zeitunabhängige Störungsrechnung ohne Entartung page

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  • Ψk
  • n
  • k
  • n
  • n
  • V^
  • k
  • Ek
  • En

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