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Display information for equation id:math.1742.7 on revision:1742

* Page found: Zeitunabhängige Störungsrechnung ohne Entartung (eq math.1742.7)

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Hash: 31c9f783f4fd6c3c6f4ce9d7a47e6199

TeX (original user input):

\begin{align}

& {{E}_{k}}={{E}_{k}}^{(0)}+\varepsilon {{E}_{k}}^{(1)}+{{\varepsilon }^{2}}{{E}_{k}}^{(2)}+... \\

& \left| {{\Psi }_{k}} \right\rangle =\left| {{\Psi }_{k}}^{(0)} \right\rangle +\varepsilon \left| {{\Psi }_{k}}^{(1)} \right\rangle +{{\varepsilon }^{2}}\left| {{\Psi }_{k}}^{(2)} \right\rangle +... \\

\end{align}

TeX (checked):

{\begin{aligned}&{{E}_{k}}={{E}_{k}}^{(0)}+\varepsilon {{E}_{k}}^{(1)}+{{\varepsilon }^{2}}{{E}_{k}}^{(2)}+...\\&\left|{{\Psi }_{k}}\right\rangle =\left|{{\Psi }_{k}}^{(0)}\right\rangle +\varepsilon \left|{{\Psi }_{k}}^{(1)}\right\rangle +{{\varepsilon }^{2}}\left|{{\Psi }_{k}}^{(2)}\right\rangle +...\\\end{aligned}}

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MathML (2.731 KB / 401 B) :

Ek=Ek(0)+εEk(1)+ε2Ek(2)+...|Ψk=|Ψk(0)+ε|Ψk(1)+ε2|Ψk(2)+...
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</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 stretchy="false">+</mo><mi>ε</mi><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 stretchy="false">+</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><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>2</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">+</mo><mi>...</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msup><msub><mi>Ψ</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><mo stretchy="false">+</mo><mi>ε</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msup><msub><mi>Ψ</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"></mo></mrow><mo stretchy="false">+</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msup><msub><mi>Ψ</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>2</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">+</mo><mi>...</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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

Identifiers

  • Ek
  • Ek
  • ε
  • Ek
  • ε
  • Ek
  • Ψk
  • Ψk
  • ε
  • Ψk
  • ε
  • Ψk

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