Jump to navigation Jump to search

General

Display information for equation id:math.1662.48 on revision:1662

* Page found: Drehimpuls- Eigenzustände (eq math.1662.48)

(force rerendering)

Occurrences on the following pages:

Hash: 6b8cc0d637eee20d1a93c8345c4fb8a1

TeX (original user input):

{{\hat{L}}_{3}}{{\hat{L}}_{\pm }}\left| a,b \right\rangle =\left( b\pm \hbar  \right){{\hat{L}}_{\pm }}\left| a,b \right\rangle

TeX (checked):

{{\hat {L}}_{3}}{{\hat {L}}_{\pm }}\left|a,b\right\rangle =\left(b\pm \hbar \right){{\hat {L}}_{\pm }}\left|a,b\right\rangle

LaTeXML (experimental; uses MathML) rendering

MathML (7.031 KB / 1.166 KB) :

L ^ 3 L ^ ± | a , b = ( b ± ) L ^ ± | a , b subscript ^ 𝐿 3 subscript ^ 𝐿 plus-or-minus ket 𝑎 𝑏 plus-or-minus 𝑏 Planck-constant-over-2-pi subscript ^ 𝐿 plus-or-minus ket 𝑎 𝑏 {\displaystyle{\displaystyle{{\hat{L}}_{3}}{{\hat{L}}_{\pm}}\left|a,b\right% \rangle=\left(b\pm\hbar\right){{\hat{L}}_{\pm}}\left|a,b\right\rangle}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{\hat{L}}_{3}}{{\hat{L}}_{\pm}}\left|a,b\right%&#10;\rangle=\left(b\pm\hbar\right){{\hat{L}}_{\pm}}\left|a,b\right\rangle}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
      <mrow id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml">
        <msub id="p1.1.m1.1.23.1.2" xref="p1.1.m1.1.23.1.2.cmml">
          <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
            <mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">L</mi>
            <mo stretchy="false" id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">^</mo>
          </mover>
          <mn id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">3</mn>
        </msub>
        <mo id="p1.1.m1.1.23.1.1" xref="p1.1.m1.1.23.1.1.cmml"></mo>
        <msub id="p1.1.m1.1.23.1.3" xref="p1.1.m1.1.23.1.3.cmml">
          <mover accent="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
            <mi id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml">L</mi>
            <mo stretchy="false" id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">^</mo>
          </mover>
          <mo id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">±</mo>
        </msub>
        <mo id="p1.1.m1.1.23.1.1a" xref="p1.1.m1.1.23.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.23.1.4" xref="p1.1.m1.1.23.1.4.1.cmml">
          <mo fence="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.23.1.4.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.23.1.4.2" xref="p1.1.m1.1.23.1.4.2.1.cmml">
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">a</mi>
            <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.23.1.4.2.1.cmml">,</mo>
            <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">b</mi>
          </mrow>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.23.1.4.1.1.cmml"></mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">=</mo>
      <mrow id="p1.1.m1.1.23.2" xref="p1.1.m1.1.23.2.cmml">
        <mrow id="p1.1.m1.1.23.2.2" xref="p1.1.m1.1.23.2.2.2.cmml">
          <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.23.2.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.23.2.2.2" xref="p1.1.m1.1.23.2.2.2.cmml">
            <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">b</mi>
            <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">±</mo>
            <mi mathvariant="normal" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml"></mi>
          </mrow>
          <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.23.2.2.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.23.2.1" xref="p1.1.m1.1.23.2.1.cmml"></mo>
        <msub id="p1.1.m1.1.23.2.3" xref="p1.1.m1.1.23.2.3.cmml">
          <mover accent="true" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
            <mi id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">L</mi>
            <mo stretchy="false" id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">^</mo>
          </mover>
          <mo id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">±</mo>
        </msub>
        <mo id="p1.1.m1.1.23.2.1a" xref="p1.1.m1.1.23.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.23.2.4" xref="p1.1.m1.1.23.2.4.1.cmml">
          <mo fence="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.23.2.4.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.23.2.4.2" xref="p1.1.m1.1.23.2.4.2.1.cmml">
            <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">a</mi>
            <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.23.2.4.2.1.cmml">,</mo>
            <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">b</mi>
          </mrow>
          <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.23.2.4.1.1.cmml"></mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">
        <eq id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
        <apply id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1">
          <times id="p1.1.m1.1.23.1.1.cmml" xref="p1.1.m1.1.23.1.1"/>
          <apply id="p1.1.m1.1.23.1.2.cmml" xref="p1.1.m1.1.23.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.1.2.1.cmml" xref="p1.1.m1.1.23.1.2">subscript</csymbol>
            <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
              <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">^</ci>
              <ci id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">𝐿</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">3</cn>
          </apply>
          <apply id="p1.1.m1.1.23.1.3.cmml" xref="p1.1.m1.1.23.1.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.1.3.1.cmml" xref="p1.1.m1.1.23.1.3">subscript</csymbol>
            <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
              <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">^</ci>
              <ci id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">𝐿</ci>
            </apply>
            <csymbol cd="latexml" id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">plus-or-minus</csymbol>
          </apply>
          <apply id="p1.1.m1.1.23.1.4.1.cmml" xref="p1.1.m1.1.23.1.4">
            <csymbol cd="latexml" id="p1.1.m1.1.23.1.4.1.1.cmml" xref="p1.1.m1.1.5">ket</csymbol>
            <list id="p1.1.m1.1.23.1.4.2.1.cmml" xref="p1.1.m1.1.23.1.4.2">
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑎</ci>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑏</ci>
            </list>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.23.2.cmml" xref="p1.1.m1.1.23.2">
          <times id="p1.1.m1.1.23.2.1.cmml" xref="p1.1.m1.1.23.2.1"/>
          <apply id="p1.1.m1.1.23.2.2.2.cmml" xref="p1.1.m1.1.23.2.2">
            <csymbol cd="latexml" id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">plus-or-minus</csymbol>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑏</ci>
            <csymbol cd="latexml" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">Planck-constant-over-2-pi</csymbol>
          </apply>
          <apply id="p1.1.m1.1.23.2.3.cmml" xref="p1.1.m1.1.23.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.23.2.3.1.cmml" xref="p1.1.m1.1.23.2.3">subscript</csymbol>
            <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
              <ci id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">^</ci>
              <ci id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">𝐿</ci>
            </apply>
            <csymbol cd="latexml" id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">plus-or-minus</csymbol>
          </apply>
          <apply id="p1.1.m1.1.23.2.4.1.cmml" xref="p1.1.m1.1.23.2.4">
            <csymbol cd="latexml" id="p1.1.m1.1.23.2.4.1.1.cmml" xref="p1.1.m1.1.18">ket</csymbol>
            <list id="p1.1.m1.1.23.2.4.2.1.cmml" xref="p1.1.m1.1.23.2.4.2">
              <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝑎</ci>
              <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝑏</ci>
            </list>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{{\hat{L}}_{3}}{{\hat{L}}_{\pm}}\left|a,b\right%
\rangle=\left(b\pm\hbar\right){{\hat{L}}_{\pm}}\left|a,b\right\rangle}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.146 KB / 296 B) :

L^3L^±|a,b=(b±)L^±|a,b
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>&#x00B1;</mo></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>b</mi><mo>&#x00B1;</mo><mi data-mjx-alternate="1">&#x210F;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>&#x00B1;</mo></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></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 Drehimpuls- Eigenzustände page

Identifiers

  • L^3
  • L^
  • a
  • b
  • b
  • L^
  • a
  • b

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results