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Display information for equation id:math.1825.9 on revision:1825
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1825.9)
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Hash: 7bedf312b30190f7d8b57e073182dcda
TeX (original user input):
\begin{align}
& {{\left( \hbar Q \right)}^{2}}={{L}^{2}}+\hbar \tilde{\bar{\sigma }}\bar{L}+{{\hbar }^{2}}={{\left( \bar{L}+\frac{\hbar }{2}\tilde{\bar{\sigma }} \right)}^{2}}+\frac{{{\hbar }^{2}}}{4} \\
& mit\ {{\left( \bar{L}+\frac{\hbar }{2}\tilde{\bar{\sigma }} \right)}^{2}}={{L}^{2}}+\hbar \tilde{\bar{\sigma }}\bar{L}+\frac{{{\hbar }^{2}}}{4}{{{\tilde{\bar{\sigma }}}}^{2}} \\
& {{{\tilde{\bar{\sigma }}}}^{2}}=3 \\
& \left( \bar{L}+\frac{\hbar }{2}\tilde{\bar{\sigma }} \right)=\bar{J} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left(\hbar Q\right)}^{2}}={{L}^{2}}+\hbar {\tilde {\bar {\sigma }}}{\bar {L}}+{{\hbar }^{2}}={{\left({\bar {L}}+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}\right)}^{2}}+{\frac {{\hbar }^{2}}{4}}\\&mit\ {{\left({\bar {L}}+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}\right)}^{2}}={{L}^{2}}+\hbar {\tilde {\bar {\sigma }}}{\bar {L}}+{\frac {{\hbar }^{2}}{4}}{{\tilde {\bar {\sigma }}}^{2}}\\&{{\tilde {\bar {\sigma }}}^{2}}=3\\&\left({\bar {L}}+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}\right)={\bar {J}}\\\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"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi alternate="1">ℏ</mi><mi>Q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi alternate="1">ℏ</mi><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>m</mi><mi>i</mi><mi>t</mi><mtext> </mtext><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi alternate="1">ℏ</mi><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><msup><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mn>3</mn></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><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mover><mi>J</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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