Jump to navigation Jump to search

General

Display information for equation id:math.1718.71 on revision:1718

* Page found: Identische Teilchen: Spin und Statistik (eq math.1718.71)

(force rerendering)

Occurrences on the following pages:

Hash: 66b1558fd08a9b79e407cea296622a05

TeX (original user input): 

\left| {{a}_{1}},...,{{a}_{N}} \right\rangle ={{\left| {{a}_{1}} \right\rangle }_{1}}{{\left| {{a}_{2}} \right\rangle }_{2}}...{{\left| {{a}_{N}} \right\rangle }_{N}}

TeX (checked): 

\left|{{a}_{1}},...,{{a}_{N}}\right\rangle ={{\left|{{a}_{1}}\right\rangle }_{1}}{{\left|{{a}_{2}}\right\rangle }_{2}}...{{\left|{{a}_{N}}\right\rangle }_{N}}

LaTeXML (experimental; uses MathML) rendering

MathML (7.92 KB / 1.199 KB) :

| a 1 , … , a N ⟩ = | a 1 ⟩ 1 ⁢ | a 2 ⟩ 2 ⁢ … ⁢ | a N ⟩ N ket subscript 𝑎 1 … subscript 𝑎 𝑁 subscript ket subscript 𝑎 1 1 subscript ket subscript 𝑎 2 2 … subscript ket subscript 𝑎 𝑁 𝑁 {\displaystyle{\displaystyle\left|{{a}_{1}},...,{{a}_{N}}\right\rangle={{\left% |{{a}_{1}}\right\rangle}_{1}}{{\left|{{a}_{2}}\right\rangle}_{2}}...{{\left|{{% a}_{N}}\right\rangle}_{N}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left|{{a}_{1}},...,{{a}_{N}}\right\rangle={{\left%&#10;|{{a}_{1}}\right\rangle}_{1}}{{\left|{{a}_{2}}\right\rangle}_{2}}...{{\left|{{%&#10;a}_{N}}\right\rangle}_{N}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">
      <mrow id="p1.1.m1.1.31.1" xref="p1.1.m1.1.31.1.1.cmml">
        <mo fence="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.31.1.1.1.cmml">|</mo>
        <mrow id="p1.1.m1.1.31.1.2" xref="p1.1.m1.1.31.1.2.1.cmml">
          <msub id="p1.1.m1.1.31.1.2.2" xref="p1.1.m1.1.31.1.2.2.cmml">
            <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">a</mi>
            <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">1</mn>
          </msub>
          <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.31.1.2.1.cmml">,</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">…</mi>
          <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.31.1.2.1.cmml">,</mo>
          <msub id="p1.1.m1.1.31.1.2.3" xref="p1.1.m1.1.31.1.2.3.cmml">
            <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">a</mi>
            <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">N</mi>
          </msub>
        </mrow>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.31.1.1.1.cmml">⟩</mo>
      </mrow>
      <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">=</mo>
      <mrow id="p1.1.m1.1.31.2" xref="p1.1.m1.1.31.2.cmml">
        <msub id="p1.1.m1.1.31.2.2" xref="p1.1.m1.1.31.2.2.cmml">
          <mrow id="p1.1.m1.1.31.2.2.2" xref="p1.1.m1.1.31.2.2.2.1.cmml">
            <mo fence="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.31.2.2.2.1.1.cmml">|</mo>
            <msub id="p1.1.m1.1.31.2.2.2.2" xref="p1.1.m1.1.31.2.2.2.2.cmml">
              <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">a</mi>
              <mn id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">1</mn>
            </msub>
            <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.31.2.2.2.1.1.cmml">⟩</mo>
          </mrow>
          <mn id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">1</mn>
        </msub>
        <mo id="p1.1.m1.1.31.2.1" xref="p1.1.m1.1.31.2.1.cmml">⁢</mo>
        <msub id="p1.1.m1.1.31.2.3" xref="p1.1.m1.1.31.2.3.cmml">
          <mrow id="p1.1.m1.1.31.2.3.2" xref="p1.1.m1.1.31.2.3.2.1.cmml">
            <mo fence="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.31.2.3.2.1.1.cmml">|</mo>
            <msub id="p1.1.m1.1.31.2.3.2.2" xref="p1.1.m1.1.31.2.3.2.2.cmml">
              <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">a</mi>
              <mn id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">2</mn>
            </msub>
            <mo id="p1.1.m1.1.21" xref="p1.1.m1.1.31.2.3.2.1.1.cmml">⟩</mo>
          </mrow>
          <mn id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">2</mn>
        </msub>
        <mo id="p1.1.m1.1.31.2.1a" xref="p1.1.m1.1.31.2.1.cmml">⁢</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">…</mi>
        <mo id="p1.1.m1.1.31.2.1b" xref="p1.1.m1.1.31.2.1.cmml">⁢</mo>
        <msub id="p1.1.m1.1.31.2.4" xref="p1.1.m1.1.31.2.4.cmml">
          <mrow id="p1.1.m1.1.31.2.4.2" xref="p1.1.m1.1.31.2.4.2.1.cmml">
            <mo fence="true" id="p1.1.m1.1.26" xref="p1.1.m1.1.31.2.4.2.1.1.cmml">|</mo>
            <msub id="p1.1.m1.1.31.2.4.2.2" xref="p1.1.m1.1.31.2.4.2.2.cmml">
              <mi id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">a</mi>
              <mi id="p1.1.m1.1.28.1" xref="p1.1.m1.1.28.1.cmml">N</mi>
            </msub>
            <mo id="p1.1.m1.1.29" xref="p1.1.m1.1.31.2.4.2.1.1.cmml">⟩</mo>
          </mrow>
          <mi id="p1.1.m1.1.30.1" xref="p1.1.m1.1.30.1.cmml">N</mi>
        </msub>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">
        <eq id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
        <apply id="p1.1.m1.1.31.1.1.cmml" xref="p1.1.m1.1.31.1">
          <csymbol cd="latexml" id="p1.1.m1.1.31.1.1.1.cmml" xref="p1.1.m1.1.1">ket</csymbol>
          <list id="p1.1.m1.1.31.1.2.1.cmml" xref="p1.1.m1.1.31.1.2">
            <apply id="p1.1.m1.1.31.1.2.2.cmml" xref="p1.1.m1.1.31.1.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.31.1.2.2.1.cmml" xref="p1.1.m1.1.31.1.2.2">subscript</csymbol>
              <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑎</ci>
              <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">1</cn>
            </apply>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">…</ci>
            <apply id="p1.1.m1.1.31.1.2.3.cmml" xref="p1.1.m1.1.31.1.2.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.31.1.2.3.1.cmml" xref="p1.1.m1.1.31.1.2.3">subscript</csymbol>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑎</ci>
              <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝑁</ci>
            </apply>
          </list>
        </apply>
        <apply id="p1.1.m1.1.31.2.cmml" xref="p1.1.m1.1.31.2">
          <times id="p1.1.m1.1.31.2.1.cmml" xref="p1.1.m1.1.31.2.1"/>
          <apply id="p1.1.m1.1.31.2.2.cmml" xref="p1.1.m1.1.31.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.2.1.cmml" xref="p1.1.m1.1.31.2.2">subscript</csymbol>
            <apply id="p1.1.m1.1.31.2.2.2.1.cmml" xref="p1.1.m1.1.31.2.2.2">
              <csymbol cd="latexml" id="p1.1.m1.1.31.2.2.2.1.1.cmml" xref="p1.1.m1.1.13">ket</csymbol>
              <apply id="p1.1.m1.1.31.2.2.2.2.cmml" xref="p1.1.m1.1.31.2.2.2.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.2.2.2.1.cmml" xref="p1.1.m1.1.31.2.2.2.2">subscript</csymbol>
                <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑎</ci>
                <cn type="integer" id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">1</cn>
              </apply>
            </apply>
            <cn type="integer" id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">1</cn>
          </apply>
          <apply id="p1.1.m1.1.31.2.3.cmml" xref="p1.1.m1.1.31.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.3.1.cmml" xref="p1.1.m1.1.31.2.3">subscript</csymbol>
            <apply id="p1.1.m1.1.31.2.3.2.1.cmml" xref="p1.1.m1.1.31.2.3.2">
              <csymbol cd="latexml" id="p1.1.m1.1.31.2.3.2.1.1.cmml" xref="p1.1.m1.1.18">ket</csymbol>
              <apply id="p1.1.m1.1.31.2.3.2.2.cmml" xref="p1.1.m1.1.31.2.3.2.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.3.2.2.1.cmml" xref="p1.1.m1.1.31.2.3.2.2">subscript</csymbol>
                <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝑎</ci>
                <cn type="integer" id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">2</cn>
              </apply>
            </apply>
            <cn type="integer" id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">2</cn>
          </apply>
          <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">…</ci>
          <apply id="p1.1.m1.1.31.2.4.cmml" xref="p1.1.m1.1.31.2.4">
            <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.4.1.cmml" xref="p1.1.m1.1.31.2.4">subscript</csymbol>
            <apply id="p1.1.m1.1.31.2.4.2.1.cmml" xref="p1.1.m1.1.31.2.4.2">
              <csymbol cd="latexml" id="p1.1.m1.1.31.2.4.2.1.1.cmml" xref="p1.1.m1.1.26">ket</csymbol>
              <apply id="p1.1.m1.1.31.2.4.2.2.cmml" xref="p1.1.m1.1.31.2.4.2.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.31.2.4.2.2.1.cmml" xref="p1.1.m1.1.31.2.4.2.2">subscript</csymbol>
                <ci id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">𝑎</ci>
                <ci id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28.1">𝑁</ci>
              </apply>
            </apply>
            <ci id="p1.1.m1.1.30.1.cmml" xref="p1.1.m1.1.30.1">𝑁</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left|{{a}_{1}},...,{{a}_{N}}\right\rangle={{\left%
|{{a}_{1}}\right\rangle}_{1}}{{\left|{{a}_{2}}\right\rangle}_{2}}...{{\left|{{%
a}_{N}}\right\rangle}_{N}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.229 KB / 265 B) :

|a1,...,aN⟩=|a1⟩1|a2⟩2...|aN⟩N
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>.</mo><mo>.</mo><mo>.</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle></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 Identische Teilchen: Spin und Statistik page

Identifiers

  • a1
  • aN
  • a11
  • a22
  • aNN

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"