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Display information for equation id:math.1821.26 on revision:1821
* Page found: Der nichtrelativistische Grenzfall (eq math.1821.26)
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Hash: ce931ca4a65874f95645be21c0176906
TeX (original user input):
\begin{align}
& \left( \bar{\sigma }\bar{\pi } \right)\left( \bar{\sigma }\bar{\pi } \right)={{{\bar{\pi }}}^{2}}+i\bar{\sigma }\left( \bar{\pi }\times \bar{\pi } \right) \\
& \Rightarrow i\hbar {{{\dot{\phi }}}_{a}}=\left[ \frac{1}{2{{m}_{0}}}\left( {{{\bar{\pi }}}^{2}}+i\bar{\sigma }\left( \bar{\pi }\times \bar{\pi } \right) \right)+e\Phi \right]{{\phi }_{a}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\left({\bar {\sigma }}{\bar {\pi }}\right)\left({\bar {\sigma }}{\bar {\pi }}\right)={{\bar {\pi }}^{2}}+i{\bar {\sigma }}\left({\bar {\pi }}\times {\bar {\pi }}\right)\\&\Rightarrow i\hbar {{\dot {\phi }}_{a}}=\left[{\frac {1}{2{{m}_{0}}}}\left({{\bar {\pi }}^{2}}+i{\bar {\sigma }}\left({\bar {\pi }}\times {\bar {\pi }}\right)\right)+e\Phi \right]{{\phi }_{a}}\\\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"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>σ</mi><mo>¯</mo></mover><mover><mi>π</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>σ</mi><mo>¯</mo></mover><mover><mi>π</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msup><mover><mi>π</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>i</mi><mover><mi>σ</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>π</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>π</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi>i</mi><mi alternate="1">ℏ</mi><msub><mover><mi>ϕ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mover><mi>π</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>i</mi><mover><mi>σ</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>π</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>π</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi>e</mi><mi>Φ</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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