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Display information for equation id:math.1585.21 on revision:1585
* Page found: Schrödingergleichung mit äußeren Potenzialen (eq math.1585.21)
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Hash: 1dc26309d108dae7197bdc8d566ad1f1
TeX (original user input):
\hat{H}=\sum\limits_{i}{{}}\left( -\frac{{{\hbar }^{2}}}{2m}{{\Delta }_{i}}+V({{{\bar{r}}}_{i}}) \right)+\frac{1}{2}\sum\limits_{i\ne j}^{{}}{W({{{\bar{r}}}_{i}}-{{{\bar{r}}}_{j}})}
TeX (checked):
{\hat {H}}=\sum \limits _{i}{}\left(-{\frac {{\hbar }^{2}}{2m}}{{\Delta }_{i}}+V({{\bar {r}}_{i}})\right)+{\frac {1}{2}}\sum \limits _{i\neq j}^{}{W({{\bar {r}}_{i}}-{{\bar {r}}_{j}})}
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MathML (1.937 KB / 455 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"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</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><msub><mi mathvariant="normal">Δ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>+</mo><mi>V</mi><mo stretchy="false">(</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"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><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"><mn>2</mn></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>≠</mo><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>W</mi><mo stretchy="false">(</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"><mi>i</mi></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"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mstyle></mrow></math>
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