Jump to navigation Jump to search

General

Display information for equation id:math.1587.24 on revision:1587

* Page found: Schrödingergleichung mit äußeren Potenzialen (eq math.1587.24)

(force rerendering)

Occurrences on the following pages:

Hash: d15c78788ed2176e2f84468a1e104a2c

TeX (original user input):

{{\left| \Psi ({{{\bar{r}}}_{1}},...,{{{\bar{r}}}_{N}},t) \right|}^{2}}{{d}^{3}}{{r}_{1}}...{{d}^{3}}{{r}_{N}}

LaTeXML (experimental; uses MathML) rendering

MathML (7.523 KB / 1.228 KB) :

| Ψ ( r ¯ 1 , , r ¯ N , t ) | 2 d 3 r 1 d 3 r N superscript Ψ subscript ¯ 𝑟 1 subscript ¯ 𝑟 𝑁 𝑡 2 superscript 𝑑 3 subscript 𝑟 1 superscript 𝑑 3 subscript 𝑟 𝑁 {\displaystyle{\displaystyle{{\left|\Psi({{{\bar{r}}}_{1}},...,{{{\bar{r}}}_{N% }},t)\right|}^{2}}{{d}^{3}}{{r}_{1}}...{{d}^{3}}{{r}_{N}}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{\left|\Psi({{{\bar{r}}}_{1}},...,{{{\bar{r}}}_{N%&#10;}},t)\right|}^{2}}{{d}^{3}}{{r}_{1}}...{{d}^{3}}{{r}_{N}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
      <msup id="p1.1.m1.1.29.2" xref="p1.1.m1.1.29.2.cmml">
        <mrow id="p1.1.m1.1.29.2.2" xref="p1.1.m1.1.29.2.2.1.cmml">
          <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.29.2.2.1.1.cmml">|</mo>
          <mrow id="p1.1.m1.1.29.2.2.2" xref="p1.1.m1.1.29.2.2.2.cmml">
            <mi mathvariant="normal" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">Ψ</mi>
            <mo id="p1.1.m1.1.29.2.2.2.1" xref="p1.1.m1.1.29.2.2.2.1.cmml"></mo>
            <mrow id="p1.1.m1.1.29.2.2.2.2" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">(</mo>
              <msub id="p1.1.m1.1.29.2.2.2.2.2" xref="p1.1.m1.1.29.2.2.2.2.2.cmml">
                <mover accent="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
                  <mi id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">r</mi>
                  <mo stretchy="false" id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">¯</mo>
                </mover>
                <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">1</mn>
              </msub>
              <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">,</mo>
              <mi mathvariant="normal" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml"></mi>
              <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">,</mo>
              <msub id="p1.1.m1.1.29.2.2.2.2.3" xref="p1.1.m1.1.29.2.2.2.2.3.cmml">
                <mover accent="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
                  <mi id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">r</mi>
                  <mo stretchy="false" id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">¯</mo>
                </mover>
                <mi id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">N</mi>
              </msub>
              <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">,</mo>
              <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">t</mi>
              <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.29.2.2.1.1.cmml">|</mo>
        </mrow>
        <mn id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">2</mn>
      </msup>
      <mo id="p1.1.m1.1.29.1" xref="p1.1.m1.1.29.1.cmml"></mo>
      <msup id="p1.1.m1.1.29.3" xref="p1.1.m1.1.29.3.cmml">
        <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">d</mi>
        <mn id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">3</mn>
      </msup>
      <mo id="p1.1.m1.1.29.1a" xref="p1.1.m1.1.29.1.cmml"></mo>
      <msub id="p1.1.m1.1.29.4" xref="p1.1.m1.1.29.4.cmml">
        <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">r</mi>
        <mn id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">1</mn>
      </msub>
      <mo id="p1.1.m1.1.29.1b" xref="p1.1.m1.1.29.1.cmml"></mo>
      <mi mathvariant="normal" id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml"></mi>
      <mo id="p1.1.m1.1.29.1c" xref="p1.1.m1.1.29.1.cmml"></mo>
      <msup id="p1.1.m1.1.29.5" xref="p1.1.m1.1.29.5.cmml">
        <mi id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">d</mi>
        <mn id="p1.1.m1.1.26.1" xref="p1.1.m1.1.26.1.cmml">3</mn>
      </msup>
      <mo id="p1.1.m1.1.29.1d" xref="p1.1.m1.1.29.1.cmml"></mo>
      <msub id="p1.1.m1.1.29.6" xref="p1.1.m1.1.29.6.cmml">
        <mi id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">r</mi>
        <mi id="p1.1.m1.1.28.1" xref="p1.1.m1.1.28.1.cmml">N</mi>
      </msub>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">
        <times id="p1.1.m1.1.29.1.cmml" xref="p1.1.m1.1.29.1"/>
        <apply id="p1.1.m1.1.29.2.cmml" xref="p1.1.m1.1.29.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.2.1.cmml" xref="p1.1.m1.1.29.2">superscript</csymbol>
          <apply id="p1.1.m1.1.29.2.2.1.cmml" xref="p1.1.m1.1.29.2.2">
            <abs id="p1.1.m1.1.29.2.2.1.1.cmml" xref="p1.1.m1.1.1"/>
            <apply id="p1.1.m1.1.29.2.2.2.cmml" xref="p1.1.m1.1.29.2.2.2">
              <times id="p1.1.m1.1.29.2.2.2.1.cmml" xref="p1.1.m1.1.29.2.2.2.1"/>
              <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">Ψ</ci>
              <vector id="p1.1.m1.1.29.2.2.2.2.1.cmml" xref="p1.1.m1.1.29.2.2.2.2">
                <apply id="p1.1.m1.1.29.2.2.2.2.2.cmml" xref="p1.1.m1.1.29.2.2.2.2.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.29.2.2.2.2.2.1.cmml" xref="p1.1.m1.1.29.2.2.2.2.2">subscript</csymbol>
                  <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
                    <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">¯</ci>
                    <ci id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">𝑟</ci>
                  </apply>
                  <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">1</cn>
                </apply>
                <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"></ci>
                <apply id="p1.1.m1.1.29.2.2.2.2.3.cmml" xref="p1.1.m1.1.29.2.2.2.2.3">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.29.2.2.2.2.3.1.cmml" xref="p1.1.m1.1.29.2.2.2.2.3">subscript</csymbol>
                  <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
                    <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">¯</ci>
                    <ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">𝑟</ci>
                  </apply>
                  <ci id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">𝑁</ci>
                </apply>
                <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑡</ci>
              </vector>
            </apply>
          </apply>
          <cn type="integer" id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">2</cn>
        </apply>
        <apply id="p1.1.m1.1.29.3.cmml" xref="p1.1.m1.1.29.3">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.3.1.cmml" xref="p1.1.m1.1.29.3">superscript</csymbol>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑑</ci>
          <cn type="integer" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">3</cn>
        </apply>
        <apply id="p1.1.m1.1.29.4.cmml" xref="p1.1.m1.1.29.4">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.4.1.cmml" xref="p1.1.m1.1.29.4">subscript</csymbol>
          <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝑟</ci>
          <cn type="integer" id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">1</cn>
        </apply>
        <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24"></ci>
        <apply id="p1.1.m1.1.29.5.cmml" xref="p1.1.m1.1.29.5">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.5.1.cmml" xref="p1.1.m1.1.29.5">superscript</csymbol>
          <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">𝑑</ci>
          <cn type="integer" id="p1.1.m1.1.26.1.cmml" xref="p1.1.m1.1.26.1">3</cn>
        </apply>
        <apply id="p1.1.m1.1.29.6.cmml" xref="p1.1.m1.1.29.6">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.6.1.cmml" xref="p1.1.m1.1.29.6">subscript</csymbol>
          <ci id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">𝑟</ci>
          <ci id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28.1">𝑁</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{{\left|\Psi({{{\bar{r}}}_{1}},...,{{{\bar{r}}}_{N%
}},t)\right|}^{2}}{{d}^{3}}{{r}_{1}}...{{d}^{3}}{{r}_{N}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.126 KB / 330 B) :

|Ψ(r¯1,...,r¯N,t)|2d3r1...d3rN
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>.</mo><mo>.</mo><mo>.</mo><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></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 Schrödingergleichung mit äußeren Potenzialen page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results