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Display information for equation id:math.1686.11 on revision:1686
* Page found: Magnetisches Moment und Zeeman- Effekt (eq math.1686.11)
(force rerendering)Occurrences on the following pages:
Hash: 83404936386fad8694b3d797afb0fe5c
TeX (original user input):
\frac{\hbar }{i}\left( \bar{A}\cdot \nabla \Psi \right)=\frac{\hbar }{2i}\left( \bar{B}\times \bar{r} \right)\nabla \Psi =\frac{\hbar }{2i}\bar{B}\left( \bar{r}\times \nabla \right)\Psi =\frac{1}{2}\left( \bar{B}\cdot \bar{L} \right)\Psi
TeX (checked):
{\frac {\hbar }{i}}\left({\bar {A}}\cdot \nabla \Psi \right)={\frac {\hbar }{2i}}\left({\bar {B}}\times {\bar {r}}\right)\nabla \Psi ={\frac {\hbar }{2i}}{\bar {B}}\left({\bar {r}}\times \nabla \right)\Psi ={\frac {1}{2}}\left({\bar {B}}\cdot {\bar {L}}\right)\Psi
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MathML (2.454 KB / 378 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"><mi data-mjx-alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>¯</mo></mover></mrow></mrow><mo>⋅</mo><mi mathvariant="normal">∇</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"><mi data-mjx-alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>i</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>×</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">∇</mi><mi mathvariant="normal">Ψ</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>i</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><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>×</mo><mi mathvariant="normal">∇</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">Ψ</mi><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">Ψ</mi></mstyle></mrow></math>
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