Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1597.24 on revision:1597

* Page found: Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände (eq math.1597.24)

(force rerendering)

Occurrences on the following pages:

Hash: 2d99a2197014db64f692b0d4da09dad1

TeX (original user input):

\int\limits_{{{R}^{3}}}^{{}}{{}}\left( \hat{H}\Psi  \right)*\Psi {{d}^{3}}r=\int\limits_{{{R}^{3}}}^{{}}{{}}\left( E\Psi  \right)*\Psi {{d}^{3}}r=E*

TeX (checked):

\int \limits _{{R}^{3}}^{}{}\left({\hat {H}}\Psi \right)*\Psi {{d}^{3}}r=\int \limits _{{R}^{3}}^{}{}\left(E\Psi \right)*\Psi {{d}^{3}}r=E*

LaTeXML (experimentell; verwendet MathML) rendering

MathML (7.195 KB / 1.302 KB) :

R 3 ( H ^ Ψ ) * Ψ d 3 r = R 3 ( E Ψ ) * Ψ d 3 r = E * fragments subscript superscript 𝑅 3 fragments ( ^ 𝐻 Ψ ) Ψ superscript 𝑑 3 r subscript superscript 𝑅 3 fragments ( E Ψ ) Ψ superscript 𝑑 3 r E {\displaystyle{\displaystyle\int\limits_{{{R}^{3}}}{{}}\left(\hat{H}\Psi\right% )*\Psi{{d}^{3}}r=\int\limits_{{{R}^{3}}}{{}}\left(E\Psi\right)*\Psi{{d}^{3}}r=% E*}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\int\limits_{{{R}^{3}}}{{}}\left(\hat{H}\Psi\right%&#10;)*\Psi{{d}^{3}}r=\int\limits_{{{R}^{3}}}{{}}\left(E\Psi\right)*\Psi{{d}^{3}}r=%&#10;E*}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mstyle displaystyle="true" id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
        <munder id="p1.1.m1.1.27a" xref="p1.1.m1.1.27.cmml">
          <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
          <msup id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
            <mi id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">R</mi>
            <mn id="p1.1.m1.1.2.1.2.1" xref="p1.1.m1.1.2.1.2.1.cmml">3</mn>
          </msup>
        </munder>
      </mstyle>
      <mrow id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">(</mo>
        <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">H</mi>
          <mo stretchy="false" id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">^</mo>
        </mover>
        <mi mathvariant="normal" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">*</mo>
      <mi mathvariant="normal" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">Ψ</mi>
      <msup id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">
        <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">d</mi>
        <mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">3</mn>
      </msup>
      <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">r</mi>
      <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">=</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
        <munder id="p1.1.m1.1.29a" xref="p1.1.m1.1.29.cmml">
          <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml"></mo>
          <msup id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">
            <mi id="p1.1.m1.1.14.1.1" xref="p1.1.m1.1.14.1.1.cmml">R</mi>
            <mn id="p1.1.m1.1.14.1.2.1" xref="p1.1.m1.1.14.1.2.1.cmml">3</mn>
          </msup>
        </munder>
      </mstyle>
      <mrow id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">(</mo>
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">E</mi>
        <mi mathvariant="normal" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">*</mo>
      <mi mathvariant="normal" id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">Ψ</mi>
      <msup id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">
        <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">d</mi>
        <mn id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">3</mn>
      </msup>
      <mi id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">r</mi>
      <mo id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">=</mo>
      <mi id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">E</mi>
      <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">*</mo>
    </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.m1.1.27.cmml" xref="p1.1.m1.1.27">
          <csymbol cd="ambiguous" id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27">subscript</csymbol>
          <int id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
          <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.2.1.3.cmml" xref="p1.1.m1.1.2.1">superscript</csymbol>
            <ci id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1">𝑅</ci>
            <cn type="integer" id="p1.1.m1.1.2.1.2.1.cmml" xref="p1.1.m1.1.2.1.2.1">3</cn>
          </apply>
        </apply>
        <cerror id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.2a.cmml" xref="p1.1.m1.1.2">fragments</csymbol>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">(</ci>
          <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">𝐻</ci>
          </apply>
          <csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">Ψ</csymbol>
          <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">)</ci>
        </cerror>
        <times id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">Ψ</csymbol>
        <apply id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">
          <csymbol cd="ambiguous" id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28">superscript</csymbol>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑑</ci>
          <cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">3</cn>
        </apply>
        <csymbol cd="unknown" id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">r</csymbol>
        <eq id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
        <apply id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">
          <csymbol cd="ambiguous" id="p1.1.m1.1.29.1.cmml" xref="p1.1.m1.1.29">subscript</csymbol>
          <int id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
          <apply id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.14.1.3.cmml" xref="p1.1.m1.1.14.1">superscript</csymbol>
            <ci id="p1.1.m1.1.14.1.1.cmml" xref="p1.1.m1.1.14.1.1">𝑅</ci>
            <cn type="integer" id="p1.1.m1.1.14.1.2.1.cmml" xref="p1.1.m1.1.14.1.2.1">3</cn>
          </apply>
        </apply>
        <cerror id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
          <csymbol cd="ambiguous" id="p1.1.m1.1.10a.cmml" xref="p1.1.m1.1.10">fragments</csymbol>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">E</csymbol>
          <csymbol cd="unknown" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">Ψ</csymbol>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">)</ci>
        </cerror>
        <times id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
        <csymbol cd="unknown" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">Ψ</csymbol>
        <apply id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">
          <csymbol cd="ambiguous" id="p1.1.m1.1.30.1.cmml" xref="p1.1.m1.1.30">superscript</csymbol>
          <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝑑</ci>
          <cn type="integer" id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">3</cn>
        </apply>
        <csymbol cd="unknown" id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">r</csymbol>
        <eq id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24"/>
        <csymbol cd="unknown" id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">E</csymbol>
        <times id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26"/>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\int\limits_{{{R}^{3}}}{{}}\left(\hat{H}\Psi\right%
)*\Psi{{d}^{3}}r=\int\limits_{{{R}^{3}}}{{}}\left(E\Psi\right)*\Psi{{d}^{3}}r=%
E*}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


SVG (MathML kann über ein Browser-Plugin aktiviert werden) rendering

MathML (2.985 KB / 561 B) :

R 3 ( H ^ Ψ ) Ψ d 3 r = R 3 ( E Ψ ) Ψ d 3 r = E {\displaystyle \int \limits _{{R}^{3}}^{}{}\left({\hat {H}}\Psi \right)*\Psi {{d}^{3}}r=\int \limits _{{R}^{3}}^{}{}\left(E\Psi \right)*\Psi {{d}^{3}}r=E*}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \int \limits _{{R}^{3}}^{}{}\left({\hat {H}}\Psi \right)*\Psi {{d}^{3}}r=\int \limits _{{R}^{3}}^{}{}\left(E\Psi \right)*\Psi {{d}^{3}}r=E*}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <munderover>
          <mo>&#x222B;<!-- ∫ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <msup>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>R</mi>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <mn>3</mn>
              </mrow>
            </msup>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
        </munderover>
        <mrow class="MJX-TeXAtom-ORD">

        </mrow>
        <mrow>
          <mo>(</mo>
          <mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>H</mi>
                  <mo stretchy="false">&#x005E;<!-- ^ --></mo>
                </mover>
              </mrow>
            </mrow>
            <mi mathvariant="normal">&#x03A8;<!-- Ψ --></mi>
          </mrow>
          <mo>)</mo>
        </mrow>
        <mo>&#x2217;<!-- ∗ --></mo>
        <mi mathvariant="normal">&#x03A8;<!-- Ψ --></mi>
        <mrow class="MJX-TeXAtom-ORD">
          <msup>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>d</mi>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mn>3</mn>
            </mrow>
          </msup>
        </mrow>
        <mi>r</mi>
        <mo>=</mo>
        <munderover>
          <mo>&#x222B;<!-- ∫ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <msup>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>R</mi>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <mn>3</mn>
              </mrow>
            </msup>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
        </munderover>
        <mrow class="MJX-TeXAtom-ORD">

        </mrow>
        <mrow>
          <mo>(</mo>
          <mrow>
            <mi>E</mi>
            <mi mathvariant="normal">&#x03A8;<!-- Ψ --></mi>
          </mrow>
          <mo>)</mo>
        </mrow>
        <mo>&#x2217;<!-- ∗ --></mo>
        <mi mathvariant="normal">&#x03A8;<!-- Ψ --></mi>
        <mrow class="MJX-TeXAtom-ORD">
          <msup>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>d</mi>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mn>3</mn>
            </mrow>
          </msup>
        </mrow>
        <mi>r</mi>
        <mo>=</mo>
        <mi>E</mi>
        <mo>&#x2217;<!-- ∗ --></mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \int \limits _{{R}^{3}}^{}{}\left({\hat {H}}\Psi \right)*\Psi {{d}^{3}}r=\int \limits _{{R}^{3}}^{}{}\left(E\Psi \right)*\Psi {{d}^{3}}r=E*}</annotation>
  </semantics>
</math>

SVG (10.871 KB / 4.558 KB) :

{\displaystyle \int \limits _{{R}^{3}}^{}{}\left({\hat {H}}\Psi \right)*\Psi {{d}^{3}}r=\int \limits _{{R}^{3}}^{}{}\left(E\Psi \right)*\Psi {{d}^{3}}r=E*}

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 Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results