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Display information for equation id:math.1677.35 on revision:1677

* Page found: Kugelsymmetrische Potentiale (eq math.1677.35)

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Hash: 251daca6b826bae8abffc1af60f7feff

TeX (original user input):

\left( \bar{r}\cdot \bar{p} \right)\left[ \left( \bar{r}\cdot \bar{p} \right)+\frac{\hbar }{i} \right]\Psi (r,\vartheta ,\phi )==-{{\hbar }^{2}}\frac{\partial }{\partial r}\left( {{r}^{2}}\frac{\partial \Psi }{\partial r} \right)

TeX (checked):

\left({\bar {r}}\cdot {\bar {p}}\right)\left[\left({\bar {r}}\cdot {\bar {p}}\right)+{\frac {\hbar }{i}}\right]\Psi (r,\vartheta ,\phi )==-{{\hbar }^{2}}{\frac {\partial }{\partial r}}\left({{r}^{2}}{\frac {\partial \Psi }{\partial r}}\right)

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MathML (experimentell; keine Bilder) rendering

MathML (2.073 KB / 414 B) :

(r¯p¯)[(r¯p¯)+i]Ψ(r,ϑ,ϕ)==2r(r2Ψr)
<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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x22C5;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x22C5;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mi mathvariant="normal">&#x03A8;</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>&#x03D1;</mi><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">)</mo><mo>=</mo><mo>=</mo><mo>&#x2212;</mo><msup><mi data-mjx-alternate="1">&#x210F;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi mathvariant="normal">&#x03A8;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Kugelsymmetrische Potentiale page

Identifiers

  • r¯
  • p¯
  • r¯
  • p¯
  • i
  • Ψ
  • r
  • ϑ
  • ϕ
  • r
  • r
  • Ψ
  • r

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