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Display information for equation id:math.1681.3 on revision:1681

* Page found: Das Wasserstoffatom (eq math.1681.3)

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Occurrences on the following pages:

Hash: 5cdf876ebbb89427887b327c53635b17

TeX (original user input):

\left\{ -\frac{{{\hbar }^{2}}}{2{{m}_{1}}}{{\Delta }_{1}}-\frac{{{\hbar }^{2}}}{2{{m}_{2}}}{{\Delta }_{2}}+V\left( \left| {{{\bar{r}}}_{1}}-{{{\bar{r}}}_{2}} \right| \right)-\tilde{E} \right\}\Psi \left( {{{\bar{r}}}_{1}},{{{\bar{r}}}_{2}} \right)=0

TeX (checked):

\left\{-{\frac {{\hbar }^{2}}{2{{m}_{1}}}}{{\Delta }_{1}}-{\frac {{\hbar }^{2}}{2{{m}_{2}}}}{{\Delta }_{2}}+V\left(\left|{{\bar {r}}_{1}}-{{\bar {r}}_{2}}\right|\right)-{\tilde {E}}\right\}\Psi \left({{\bar {r}}_{1}},{{\bar {r}}_{2}}\right)=0

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MathML (experimental; no images) rendering

MathML (2.381 KB / 418 B) :

{22m1Δ122m2Δ2+V(|r¯1r¯2|)E~}Ψ(r¯1,r¯2)=0
<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><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">&#x210F;</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><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi mathvariant="normal">&#x0394;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">&#x210F;</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><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi mathvariant="normal">&#x0394;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>+</mo><mi>V</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>~</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">}</mo></mrow><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Das Wasserstoffatom page

Identifiers

  • m1
  • Δ1
  • m2
  • Δ2
  • V
  • r¯1
  • r¯2
  • E~
  • Ψ
  • r¯1
  • r¯2

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