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Display information for equation id:math.1745.23 on revision:1745
* Page found: Zeitunabhängige Störungsrechnung ohne Entartung (eq math.1745.23)
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Hash: fcbdd26e2917d043a3cc4d81907d191f
TeX (original user input):
\begin{align}
& 1=!=\left\langle {{\Psi }_{k}} | {{\Psi }_{k}} \right\rangle =\left\langle {{\Psi }_{k}}^{(0)} | {{\Psi }_{k}}^{(0)} \right\rangle +\varepsilon \left( \left\langle {{\Psi }_{k}}^{(0)} | {{\Psi }_{k}}^{(1)} \right\rangle +\left\langle {{\Psi }_{k}}^{(1)} | {{\Psi }_{k}}^{(0)} \right\rangle \right)+{{\varepsilon }^{2}}(.... \\
& \left\langle {{\Psi }_{k}}^{(0)} | {{\Psi }_{k}}^{(0)} \right\rangle =1 \\
\end{align}
TeX (checked):
{\begin{aligned}&1=!=\left\langle {{\Psi }_{k}}|{{\Psi }_{k}}\right\rangle =\left\langle {{\Psi }_{k}}^{(0)}|{{\Psi }_{k}}^{(0)}\right\rangle +\varepsilon \left(\left\langle {{\Psi }_{k}}^{(0)}|{{\Psi }_{k}}^{(1)}\right\rangle +\left\langle {{\Psi }_{k}}^{(1)}|{{\Psi }_{k}}^{(0)}\right\rangle \right)+{{\varepsilon }^{2}}(....\\&\left\langle {{\Psi }_{k}}^{(0)}|{{\Psi }_{k}}^{(0)}\right\rangle =1\\\end{aligned}}
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<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"><mn>1</mn><mo stretchy="false">=</mo><mo stretchy="false">!</mo><mo stretchy="false">=</mo><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 stretchy="false">|</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 stretchy="false">|</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><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 stretchy="false">|</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><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 stretchy="false">|</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 data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></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><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 stretchy="false">|</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><mn>1</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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