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Display information for equation id:math.1745.16 on revision:1745

* Page found: Zeitunabhängige Störungsrechnung ohne Entartung (eq math.1745.16)

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Hash: f2adffc3e21b657f8cf2309703ec225e

TeX (original user input):

\begin{align}

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

& \left( {{{\hat{H}}}_{0}}-{{E}_{k}}^{(0)} \right)\left| n \right\rangle =\left( {{E}_{n}}^{(0)}-{{E}_{k}}^{(0)} \right)\left| n \right\rangle  \\

\end{align}

TeX (checked):

{\begin{aligned}&\sum \limits _{n}{}\left({{\hat {H}}_{0}}-{{E}_{k}}^{(0)}\right)\left|n\right\rangle \left\langle n|{{\Psi }_{k}}^{(1)}\right\rangle =\left({{E}_{k}}^{(1)}-{\hat {V}}\right)\left|k\right\rangle \\&\left({{\hat {H}}_{0}}-{{E}_{k}}^{(0)}\right)\left|n\right\rangle =\left({{E}_{n}}^{(0)}-{{E}_{k}}^{(0)}\right)\left|n\right\rangle \\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.496 KB / 511 B) :

n(H^0Ek(0))|nn|Ψk(1)=(Ek(1)V^)|k(H^0Ek(0))|n=(En(0)Ek(0))|n
<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="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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"><mn>0</mn></mrow></msub><mo>&#x2212;</mo><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 data-mjx-texclass="CLOSE">)</mo></mrow><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="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>n</mi><mo>|</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>^</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>k</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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"><mn>0</mn></mrow></msub><mo>&#x2212;</mo><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 data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</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><mo>&#x2212;</mo><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 data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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

Identifiers

  • n
  • H^0
  • Ek
  • n
  • n
  • Ψk
  • Ek
  • V^
  • k
  • H^0
  • Ek
  • n
  • En
  • Ek
  • n

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