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Display information for equation id:math.1674.40 on revision:1674
* Page found: Kugelsymmetrische Potentiale (eq math.1674.40)
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Hash: caf5d075d8107e447bf347ab9e6b21ac
TeX (original user input):
\Delta \Psi =\frac{1}{{{r}^{2}}}\frac{\partial }{\partial r}\left( {{r}^{2}}\frac{\partial }{\partial r}\Psi \right)+\frac{1}{{{r}^{2}}\sin \vartheta }\frac{\partial }{\partial \vartheta }\left( \sin \vartheta \frac{\partial }{\partial \vartheta }\Psi \right)+\frac{1}{{{r}^{2}}{{\sin }^{2}}\vartheta }\frac{{{\partial }^{2}}}{{{\partial }^{2}}\phi }\Psi
TeX (checked):
\Delta \Psi ={\frac {1}{{r}^{2}}}{\frac {\partial }{\partial r}}\left({{r}^{2}}{\frac {\partial }{\partial r}}\Psi \right)+{\frac {1}{{{r}^{2}}\sin \vartheta }}{\frac {\partial }{\partial \vartheta }}\left(\sin \vartheta {\frac {\partial }{\partial \vartheta }}\Psi \right)+{\frac {1}{{{r}^{2}}{{\sin }^{2}}\vartheta }}{\frac {{\partial }^{2}}{{{\partial }^{2}}\phi }}\Psi
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MathML (2.666 KB / 370 B) :
<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">Δ</mi><mi mathvariant="normal">Ψ</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϑ</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϑ</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>ϑ</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>ϕ</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Ψ</mi></mstyle></mrow></math>
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