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Display information for equation id:math.1665.16 on revision:1665

* Page found: Drehimpuls- Eigenzustände (eq math.1665.16)

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Occurrences on the following pages:

Hash: a4e096e52d528a5c95b363c7674e8651

TeX (original user input):

'''\left[ {{{\hat{L}}}_{+}},{{{\hat{L}}}_{3}} \right]=\left[ {{{\hat{L}}}_{1}},{{{\hat{L}}}_{3}} \right]+i\left[ {{{\hat{L}}}_{2}},{{{\hat{L}}}_{3}} \right]=-i\hbar {{\hat{L}}_{2}}-\hbar {{\hat{L}}_{1}}=-\hbar \left( {{{\hat{L}}}_{1}}+i{{{\hat{L}}}_{2}} \right)

TeX (checked):

'''\left[{{\hat {L}}_{+}},{{\hat {L}}_{3}}\right]=\left[{{\hat {L}}_{1}},{{\hat {L}}_{3}}\right]+i\left[{{\hat {L}}_{2}},{{\hat {L}}_{3}}\right]=-i\hbar {{\hat {L}}_{2}}-\hbar {{\hat {L}}_{1}}=-\hbar \left({{\hat {L}}_{1}}+i{{\hat {L}}_{2}}\right)

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[L̂+,L̂3]=[L̂1,L̂3]+i[L̂2,L̂3]=iL̂2L̂1=(L̂1+iL̂2)
<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><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></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><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"><mn>1</mn></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><mi>i</mi><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"><mn>2</mn></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><mo stretchy="false"></mo><mi>i</mi><mi alternate="1"></mi><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false"></mo><mi alternate="1"></mi><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false"></mo><mi alternate="1"></mi><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"><mn>1</mn></mrow></msub><mo stretchy="false">+</mo><mi>i</mi><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></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Drehimpuls- Eigenzustände page

Identifiers

  • L̂+
  • L̂3
  • L̂1
  • L̂3
  • i
  • L̂2
  • L̂3
  • i
  • L̂2
  • L̂1
  • L̂1
  • i
  • L̂2

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