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Display information for equation id:math.2660.48 on revision:2660

* Page found: Klein Gordon im (Vektor)Potential, Eichinvarianz (eq math.2660.48)

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\Psi \left( r,\theta ,\varphi ;t \right)={{e}^{\mathfrak{i} Et}}\underbrace{{{Y}_{lm}}\left( \theta ,\varphi  \right)}_{\text{Kugelfl }\!\!\ddot{\mathrm{a}}\!\!\text{ chenfunktionen}}\frac{\chi \left( r \right)}{x}

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Ψ(r,θ,φ;t)=eiEtYlm(θ,φ)Kugelfl a¨ chenfunktionenχ(r)x
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>r</mi><mo>,</mo><mi>&#x03B8;</mi><mo>,</mo><mi>&#x03C6;</mi><mo>;</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>E</mi><mi>t</mi></mrow></mrow></msup><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03B8;</mi><mo>,</mo><mi>&#x03C6;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo>&#x23DF;</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Kugelfl&#xA0;</mtext></mrow><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">a</mi></mrow><mo>¨</mo></mover></mrow></mrow><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mrow data-mjx-texclass="ORD"><mtext>&#xA0;chenfunktionen</mtext></mrow></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C7;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>r</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></mfrac></mrow></mstyle></mrow></math>

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