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Display information for equation id:math.1796.6 on revision:1796
* Page found: Drehimpulsdarstellung und Streuphasen (eq math.1796.6)
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Hash: 12befb7980a16c1e4af5f250c59d09ef
TeX (original user input):
{{\Psi }_{e}}(\bar{r})={{e}^{i\bar{k}\bar{r}}}={{e}^{ikr\cos \vartheta }}=\sum\limits_{l=0}^{\infty }{{}}\frac{1}{r}{{u}_{l}}(r){{P}_{l}}(\cos \vartheta )
TeX (checked):
{{\Psi }_{e}}({\bar {r}})={{e}^{i{\bar {k}}{\bar {r}}}}={{e}^{ikr\cos \vartheta }}=\sum \limits _{l=0}^{\infty }{}{\frac {1}{r}}{{u}_{l}}(r){{P}_{l}}(\cos \vartheta )
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MathML (1.623 KB / 402 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></msup><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mi>r</mi><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi></mrow></mrow></msup><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi><mo stretchy="false">)</mo></mrow></math>
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