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Display information for equation id:math.2665.44 on revision:2665
* Page found: Klein Gordon im (Vektor)Potential, Eichinvarianz (eq math.2665.44)
(force rerendering)Occurrences on the following pages:
Hash: bf43c107bedbff11edfaa3ebfae85dc9
TeX (original user input):
\begin{align}
& \hat{\underline{p}}=\frac{\hbar }{\mathfrak{i} }\underline{\nabla }\quad \to \hat{\underline{p}}-e\underline{A}=\frac{\hbar }{\mathfrak{i} }\underline{\nabla }-e\underline{A} \\
& {{\partial }_{t}}\quad \to {{\partial }_{t}}+\mathfrak{i} e\phi \\
\end{align}
TeX (checked):
{\begin{aligned}&{\hat {\underline {p}}}={\frac {\hbar }{\mathfrak {i}}}{\underline {\nabla }}\quad \to {\hat {\underline {p}}}-e{\underline {A}}={\frac {\hbar }{\mathfrak {i}}}{\underline {\nabla }}-e{\underline {A}}\\&{{\partial }_{t}}\quad \to {{\partial }_{t}}+{\mathfrak {i}}e\phi \\\end{aligned}}
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MathML (2.173 KB / 445 B) :
<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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><munder><mi>p</mi><mo>_</mo></munder></mrow><mo>^</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><munder><mi mathvariant="normal">∇</mi><mo>_</mo></munder></mrow><mspace width="1em"></mspace><mo accent="false">→</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><munder><mi>p</mi><mo>_</mo></munder></mrow><mo>^</mo></mover></mrow></mrow><mo>−</mo><mi>e</mi><mrow data-mjx-texclass="ORD"><munder><mi>A</mi><mo>_</mo></munder></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><munder><mi mathvariant="normal">∇</mi><mo>_</mo></munder></mrow><mo>−</mo><mi>e</mi><mrow data-mjx-texclass="ORD"><munder><mi>A</mi><mo>_</mo></munder></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mspace width="1em"></mspace><mo accent="false">→</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>e</mi><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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