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Display information for equation id:math.1821.21 on revision:1821
* Page found: Der nichtrelativistische Grenzfall (eq math.1821.21)
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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 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>i</mi><mi data-mjx-alternate="1">ℏ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo>=</mo><mi>c</mi><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo>=</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>+</mo><mi>e</mi><mi mathvariant="normal">Φ</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo>=</mo><mi>c</mi><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mo>=</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>−</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>+</mo><mi>e</mi><mi mathvariant="normal">Φ</mi><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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