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Display information for equation id:math.1672.25 on revision:1672

* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1672.25)

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Occurrences on the following pages:

Hash: 98a92af0390f1c0a16efa6f27c2bb5bb

TeX (original user input):

\int\limits_{0}^{2\pi }{d\phi \int\limits_{0}^{\pi }{d\vartheta \sin \vartheta }}{{\left[ {{Y}_{l}}^{m}(\vartheta ,\phi ) \right]}^{*}}{{Y}_{l}}^{m}(\vartheta ,\phi )=1

TeX (checked):

\int \limits _{0}^{2\pi }{d\phi \int \limits _{0}^{\pi }{d\vartheta \sin \vartheta }}{{\left[{{Y}_{l}}^{m}(\vartheta ,\phi )\right]}^{*}}{{Y}_{l}}^{m}(\vartheta ,\phi )=1

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.348 KB / 368 B) :

02πdϕ0πdϑsinϑ[Ylm(ϑ,ϕ)]*Ylm(ϑ,ϕ)=1
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>&#x03C0;</mi></mrow></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>&#x03D5;</mi><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03C0;</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>&#x03D1;</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mrow></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mo stretchy="false">(</mo><mi>&#x03D1;</mi><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msup><msup><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mo stretchy="false">(</mo><mi>&#x03D1;</mi><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">)</mo><mo>=</mo><mn>1</mn></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Ortsdarstellung des Bahndrehimpulses page

Identifiers

  • π
  • ϕ
  • π
  • ϑ
  • ϑ
  • Yl
  • m
  • ϑ
  • ϕ
  • Yl
  • m
  • ϑ
  • ϕ

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