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Display information for equation id:math.1586.73 on revision:1586

* Page found: Schrödingergleichung mit äußeren Potenzialen (eq math.1586.73)

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Hash: e89a528bb1e8ccc476c2c7dff91e72ae

TeX (original user input):

\frac{1}{2m}{{\left( \frac{\hbar }{i}\nabla  \right)}^{2}}\Psi \acute{\ }(\bar{r},t)+e\Phi \acute{\ }\Psi \acute{\ }(\bar{r},t)=i\hbar \frac{\partial }{\partial t}\Psi \acute{\ }(\bar{r},t)

TeX (checked):

{\frac {1}{2m}}{{\left({\frac {\hbar }{i}}\nabla \right)}^{2}}\Psi {\acute {\ }}({\bar {r}},t)+e\Phi {\acute {\ }}\Psi {\acute {\ }}({\bar {r}},t)=i\hbar {\frac {\partial }{\partial t}}\Psi {\acute {\ }}({\bar {r}},t)

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MathML (2.292 KB / 429 B) :

12m(i)2Ψ´(r¯,t)+eΦ´Ψ´(r¯,t)=itΨ´(r¯,t)
<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"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</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><mi mathvariant="normal">&#x2207;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>+</mo><mi>e</mi><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mi>i</mi><mi data-mjx-alternate="1">&#x210F;</mi><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>t</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Schrödingergleichung mit äußeren Potenzialen page

Identifiers

  • m
  • i
  • Ψ
  • ´
  • r¯
  • t
  • e
  • Φ
  • ´
  • Ψ
  • ´
  • r¯
  • t
  • i
  • t
  • Ψ
  • ´
  • r¯
  • t

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