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Display information for equation id:math.1677.37 on revision:1677
* Page found: Kugelsymmetrische Potentiale (eq math.1677.37)
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Hash: ba604131d57fcfb14b1b79e99c76768d
TeX (original user input):
\frac{{{p}^{2}}}{2m}\Psi (r,\vartheta ,\phi )=\frac{-{{\hbar }^{2}}}{2m}\frac{1}{r}\frac{{{\partial }^{2}}}{\partial {{r}^{2}}}\left( r\Psi \right)+\frac{{{L}^{2}}}{2m{{r}^{2}}}\Psi
TeX (checked):
{\frac {{p}^{2}}{2m}}\Psi (r,\vartheta ,\phi )={\frac {-{{\hbar }^{2}}}{2m}}{\frac {1}{r}}{\frac {{\partial }^{2}}{\partial {{r}^{2}}}}\left(r\Psi \right)+{\frac {{L}^{2}}{2m{{r}^{2}}}}\Psi
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MathML (1.884 KB / 387 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"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><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><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"><mi>∂</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>r</mi><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"><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Ψ</mi></mstyle></mrow></math>
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