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Display information for equation id:math.1709.3 on revision:1709
* Page found: Addition von Drehimpulsen (eq math.1709.3)
(force rerendering)Occurrences on the following pages:
Hash: dabcda22b82e320f4f614d87675c12fb
TeX (original user input):
\left[ {{{\hat{J}}}^{2}},{{{\hat{L}}}_{3}} \right]=\left[ {{{\hat{L}}}^{2}}+{{{\hat{\bar{S}}}}^{2}}+2\hat{\bar{L}}\cdot \hat{\bar{S}},{{{\hat{L}}}_{3}} \right]=2{{\hat{\bar{S}}}_{j}}\left[ {{{\hat{L}}}_{j}},{{{\hat{L}}}_{3}} \right]=2i\hbar \left( {{{\hat{S}}}_{2}}{{{\hat{L}}}_{1}}-{{{\hat{S}}}_{1}}{{{\hat{L}}}_{2}} \right)\ne 0
TeX (checked):
\left[{{\hat {J}}^{2}},{{\hat {L}}_{3}}\right]=\left[{{\hat {L}}^{2}}+{{\hat {\bar {S}}}^{2}}+2{\hat {\bar {L}}}\cdot {\hat {\bar {S}}},{{\hat {L}}_{3}}\right]=2{{\hat {\bar {S}}}_{j}}\left[{{\hat {L}}_{j}},{{\hat {L}}_{3}}\right]=2i\hbar \left({{\hat {S}}_{2}}{{\hat {L}}_{1}}-{{\hat {S}}_{1}}{{\hat {L}}_{2}}\right)\neq 0
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MathML (experimental; no images) rendering
MathML (2.47 KB / 417 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><mover><mi>J</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mover><mover><mi>S</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mn>2</mn><mover><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo stretchy="false">⋅</mo><mover><mover><mi>S</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">=</mo><mn>2</mn><msub><mover><mover><mi>S</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">=</mo><mn>2</mn><mi>i</mi><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>S</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">−</mo><msub><mover><mi>S</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">≠</mo><mn>0</mn></mstyle></mrow></math>
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