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Display information for equation id:math.1821.21 on revision:1821
* Page found: Der nichtrelativistische Grenzfall (eq math.1821.21)
(force rerendering)Occurrences on the following pages:
Hash: 99f10ba3df4262555421ba2c5c3d1364
TeX (original user input):
\begin{align}
& i\hbar {{{\dot{\phi }}}_{a}}=c\sum\limits_{\mu =1}^{3}{{}}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\phi }_{b}}+e\Phi {{\phi }_{a}} \\
& i\hbar {{{\dot{\phi }}}_{b}}=c\sum\limits_{\mu =1}^{3}{{}}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\phi }_{a}}-2{{m}_{0}}{{c}^{2}}{{\phi }_{b}}+e\Phi {{\phi }_{b}} \\
\end{align}
TeX (checked):
{\begin{aligned}&i\hbar {{\dot {\phi }}_{a}}=c\sum \limits _{\mu =1}^{3}{}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\phi }_{b}}+e\Phi {{\phi }_{a}}\\&i\hbar {{\dot {\phi }}_{b}}=c\sum \limits _{\mu =1}^{3}{}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\phi }_{a}}-2{{m}_{0}}{{c}^{2}}{{\phi }_{b}}+e\Phi {{\phi }_{b}}\\\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"><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><mi>c</mi><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msup><mi>π</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo stretchy="false">+</mo><mi>e</mi><mi>Φ</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>i</mi><mi alternate="1">ℏ</mi><msub><mover><mi>ϕ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo stretchy="false">=</mo><mi>c</mi><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msup><mi>π</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo stretchy="false">−</mo><mn>2</mn><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo stretchy="false">+</mo><mi>e</mi><mi>Φ</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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