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Display information for equation id:math.1674.46 on revision:1674
* Page found: Kugelsymmetrische Potentiale (eq math.1674.46)
(force rerendering)Occurrences on the following pages:
Hash: 73d63fb7c673673c30ecbd09061e24bf
TeX (original user input):
{{L}^{2}}\Psi (r,\vartheta ,\phi )=-{{\hbar }^{2}}\left\{ \frac{1}{\sin \vartheta }\frac{\partial }{\partial \vartheta }\left( \sin \vartheta \frac{\partial \Psi (r,\vartheta ,\phi )}{\partial \vartheta } \right)+\frac{1}{{{\sin }^{2}}\vartheta }\frac{{{\partial }^{2}}\Psi (r,\vartheta ,\phi )}{\partial {{\phi }^{2}}} \right\}
TeX (checked):
{{L}^{2}}\Psi (r,\vartheta ,\phi )=-{{\hbar }^{2}}\left\{{\frac {1}{\sin \vartheta }}{\frac {\partial }{\partial \vartheta }}\left(\sin \vartheta {\frac {\partial \Psi (r,\vartheta ,\phi )}{\partial \vartheta }}\right)+{\frac {1}{{{\sin }^{2}}\vartheta }}{\frac {{{\partial }^{2}}\Psi (r,\vartheta ,\phi )}{\partial {{\phi }^{2}}}}\right\}
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MathML (2.372 KB / 417 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle><mi mathvariant="normal">Ψ</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>ϑ</mi><mo>,</mo><mi>ϕ</mi><mo stretchy="false">)</mo><mo>=</mo><mo>−</mo><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</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"><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"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi mathvariant="normal">Ψ</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>ϑ</mi><mo>,</mo><mi>ϕ</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϑ</mi></mrow></mrow></mfrac></mrow><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>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"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi mathvariant="normal">Ψ</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>ϑ</mi><mo>,</mo><mi>ϕ</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">}</mo></mrow></mrow></math>
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