Jump to navigation Jump to search

General

Display information for equation id:math.1668.28 on revision:1668

* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1668.28)

(force rerendering)

Occurrences on the following pages:

Hash: fca6079c845477e040df82653187e3bb

TeX (original user input): 

{{Y}_{l}}{{^{m}}^{*}}(\vartheta ,\phi )={{\left( -1 \right)}^{m}}{{Y}_{l}}{{^{-m}}^{{}}}

TeX (checked): 

{{Y}_{l}}{{^{m}}^{*}}(\vartheta ,\phi )={{\left(-1\right)}^{m}}{{Y}_{l}}{{^{-m}}^{}}

LaTeXML (experimental; uses MathML) rendering

MathML (5.466 KB / 1.06 KB) :

Y l ( ϑ , ϕ ) m * = ( - 1 ) m Y l - m fragments subscript 𝑌 𝑙 superscript superscript fragments ( ϑ , ϕ ) 𝑚 superscript fragments ( 1 ) 𝑚 subscript 𝑌 𝑙 𝑚 {\displaystyle{\displaystyle{{Y}_{l}}{{{}^{m}}^{*}}(\vartheta,\phi)={{\left(-1% \right)}^{m}}{{Y}_{l}}{{{}^{-m}}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{Y}_{l}}{{{}^{m}}^{*}}(\vartheta,\phi)={{\left(-1%&#10;\right)}^{m}}{{Y}_{l}}{{{}^{-m}}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <msub id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">Y</mi>
        <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">l</mi>
      </msub>
      <mmultiscripts id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
        <mrow id="p1.1.m1.1.20.2.2" xref="p1.1.m1.1.20.2.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">(</mo>
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">ϑ</mi>
          <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">,</mo>
          <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">ϕ</mi>
          <mo stretchy="false" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">)</mo>
        </mrow>
        <mprescripts id="p1.1.m1.1.20a" xref="p1.1.m1.1.20.cmml"/>
        <none id="p1.1.m1.1.20b" xref="p1.1.m1.1.20.cmml"/>
        <mi id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">m</mi>
        <none id="p1.1.m1.1.20c" xref="p1.1.m1.1.20.cmml"/>
        <mo id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">*</mo>
      </mmultiscripts>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">=</mo>
      <msup id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
        <mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
          <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">(</mo>
          <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">-</mo>
          <mn id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">1</mn>
          <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">)</mo>
        </mrow>
        <mi id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">m</mi>
      </msup>
      <msub id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">Y</mi>
        <mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">l</mi>
      </msub>
      <msup id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
        <mi id="p1.1.m1.1.18a" xref="p1.1.m1.1.18.cmml"/>
        <mrow id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">
          <mo id="p1.1.m1.1.18.1.1" xref="p1.1.m1.1.18.1.1.cmml">-</mo>
          <mi id="p1.1.m1.1.18.1.2" xref="p1.1.m1.1.18.1.2.cmml">m</mi>
        </mrow>
      </msup>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
          <csymbol cd="ambiguous" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑌</ci>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑙</ci>
        </apply>
        <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
          <csymbol cd="ambiguous" id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20">superscript</csymbol>
          <apply id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20">
            <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.1.cmml" xref="p1.1.m1.1.20">superscript</csymbol>
            <cerror id="p1.1.m1.1.20.2.2.cmml" xref="p1.1.m1.1.20.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.2a.cmml" xref="p1.1.m1.1.20.2.2">fragments</csymbol>
              <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">(</ci>
              <csymbol cd="unknown" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">ϑ</csymbol>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">,</ci>
              <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">ϕ</csymbol>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">)</ci>
            </cerror>
            <times id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1"/>
          </apply>
          <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">𝑚</ci>
        </apply>
        <eq id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
        <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
          <csymbol cd="ambiguous" id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21">superscript</csymbol>
          <cerror id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21.2a.cmml" xref="p1.1.m1.1.21.2">fragments</csymbol>
            <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">(</ci>
            <minus id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
            <cn type="integer" id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">1</cn>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">)</ci>
          </cerror>
          <ci id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">𝑚</ci>
        </apply>
        <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
          <csymbol cd="ambiguous" id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22">subscript</csymbol>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑌</ci>
          <ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝑙</ci>
        </apply>
        <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
          <apply id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">
            <minus id="p1.1.m1.1.18.1.1.cmml" xref="p1.1.m1.1.18.1.1"/>
            <ci id="p1.1.m1.1.18.1.2.cmml" xref="p1.1.m1.1.18.1.2">𝑚</ci>
          </apply>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle{{Y}_{l}}{{{}^{m}}^{*}}(\vartheta,\phi)={{\left(-1%
\right)}^{m}}{{Y}_{l}}{{{}^{-m}}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (910 B / 297 B) :

Ylm*(ϑ,ϕ)=(−1)mYl−m
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mstyle><msup><msup><mi/><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msup><mo stretchy="false">(</mo><mi>&#x03D1;</mi><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">)</mo><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>&#x2212;</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><msup><msup><mi/><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>m</mi></mrow></mrow></msup><mrow data-mjx-texclass="ORD"></mrow></msup></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

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

Identifiers

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

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "http://physikerwelt.de:8080/w/index.php?title=Special:FormulaInfo"