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Display information for equation id:math.1825.14 on revision:1825

* Page found: Das Wasserstoffatom (relativistsich) (eq math.1825.14)

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Hash: 437746cdfbc05189f0aae7e0a3a61e05

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\begin{align}

& {{\left( \hbar Q \right)}^{2}}\left| j \right\rangle =\left( {{\hbar }^{2}}j(j+1)+\frac{{{\hbar }^{2}}}{4} \right)\left| j \right\rangle ={{\hbar }^{2}}{{(j+\frac{1}{2})}^{2}}\left| j \right\rangle  \\

& {{(j+\frac{1}{2})}^{2}}:={{q}^{2}} \\

\end{align}

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(Q)2|j=(2j(j+1)+24)|j=2(j+12)2|j(j+12)2:=q2
<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"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi alternate="1"></mi><mi>Q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>j</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi alternate="1"></mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>j</mi><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1"></mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>j</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><msup><mi alternate="1"></mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>j</mi><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>j</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">:=</mo><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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