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Display information for equation id:math.1826.51 on revision:1826
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1826.51)
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Hash: ae935fedd8a609e7737a00e948064a63
TeX (original user input):
\begin{align}
& a\left[ \left( \lambda +q+k+1 \right){{g}_{k+1}}-{{g}_{k}}+\gamma {{f}_{k+1}}-\frac{{{a}_{2}}}{a}{{f}_{k}} \right]-{{a}_{2}}\left[ \left( \lambda -q+k+1 \right){{f}_{k+1}}-{{f}_{k}}+\gamma {{g}_{k+1}}-\frac{{{a}_{1}}}{a}{{g}_{k}} \right]=0 \\
& \Rightarrow \left[ a\left( \lambda +q+k+1 \right)+{{a}_{2}}\gamma \right]{{g}_{k+1}}=\left[ {{a}_{2}}\left( \lambda -q+k+1 \right)-a\gamma \right]{{f}_{k+1}} \\
\end{align}
TeX (checked):
{\begin{aligned}&a\left[\left(\lambda +q+k+1\right){{g}_{k+1}}-{{g}_{k}}+\gamma {{f}_{k+1}}-{\frac {{a}_{2}}{a}}{{f}_{k}}\right]-{{a}_{2}}\left[\left(\lambda -q+k+1\right){{f}_{k+1}}-{{f}_{k}}+\gamma {{g}_{k+1}}-{\frac {{a}_{1}}{a}}{{g}_{k}}\right]=0\\&\Rightarrow \left[a\left(\lambda +q+k+1\right)+{{a}_{2}}\gamma \right]{{g}_{k+1}}=\left[{{a}_{2}}\left(\lambda -q+k+1\right)-a\gamma \right]{{f}_{k+1}}\\\end{aligned}}
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<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><mi>a</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>λ</mi><mo>+</mo><mi>q</mi><mo>+</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>−</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>+</mo><mi>γ</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></mfrac></mrow><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>−</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>λ</mi><mo>−</mo><mi>q</mi><mo>+</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>−</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>+</mo><mi>γ</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></mfrac></mrow><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>a</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>λ</mi><mo>+</mo><mi>q</mi><mo>+</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>γ</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>λ</mi><mo>−</mo><mi>q</mi><mo>+</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mi>a</mi><mi>γ</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>+</mo><mn>1</mn></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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