Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.2685.27 on revision:2685

* Page found: Weitere Eigenschaften der Dirac-Gleichung (eq math.2685.27)

(force rerendering)

Occurrences on the following pages:

Hash: 1222a2737840b8276285ab12d5440f00

TeX (original user input):

\left( \mathfrak{i} {{\gamma }^{\nu }}{{\partial }_{\nu }}-m \right)\Psi =0\ \left( \text{in S} \right)\quad \left( \mathfrak{i} \gamma {{'}^{\nu }}\partial {{'}_{\nu }}-m' \right)\Psi '=0\ \left( \text{in S }\!\!'\!\!\text{ } \right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (10.218 KB / 1.686 KB) :

( 𝔦 γ ν ν - m ) Ψ = 0 ( in S ) ( 𝔦 γ ν - ν m ) Ψ = 0 ( in S    ) fragments fragments ( i superscript 𝛾 𝜈 subscript 𝜈 m ) Ψ 0 fragments ( in S ) italic-  fragments ( i γ superscript superscript 𝜈 superscript subscript 𝜈 superscript 𝑚 ) superscript Ψ 0 fragments ( superscript in S    ) {\displaystyle{\displaystyle\left(\mathfrak{i}{{\gamma}^{\nu}}{{\partial}_{\nu% }}-m\right)\Psi=0\ \left(\text{in S}\right)\quad\left(\mathfrak{i}\gamma{{{}^{% \prime}}^{\nu}}\partial{{{}^{\prime}}_{\nu}}-m^{\prime}\right)\Psi^{\prime}=0% \ \left(\text{in S }\!\!^{\prime}\!\!\text{ }\right)}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left(\mathfrak{i}{{\gamma}^{\nu}}{{\partial}_{\nu%&#10;}}-m\right)\Psi=0\ \left(\text{in S}\right)\quad\left(\mathfrak{i}\gamma{{{}^{%&#10;\prime}}^{\nu}}\partial{{{}^{\prime}}_{\nu}}-m^{\prime}\right)\Psi^{\prime}=0%&#10;\ \left(\text{in S }\!\!^{\prime}\!\!\text{ }\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mrow id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">(</mo>
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">𝔦</mi>
        <msup id="p1.1.m1.1.46" xref="p1.1.m1.1.46.cmml">
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">γ</mi>
          <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">ν</mi>
        </msup>
        <msub id="p1.1.m1.1.47" xref="p1.1.m1.1.47.cmml">
          <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml"></mo>
          <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">ν</mi>
        </msub>
        <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">m</mi>
        <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">)</mo>
      </mrow>
      <mi mathvariant="normal" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">Ψ</mi>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
      <mpadded width="+5pt" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
        <mn id="p1.1.m1.1.12a" xref="p1.1.m1.1.12.cmml">0</mn>
      </mpadded>
      <mrow id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
        <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">(</mo>
        <mtext id="p1.1.m1.1.15" xref="p1.1.m1.1.15a.cmml">in S</mtext>
        <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">)</mo>
      </mrow>
      <mo mathvariant="italic" separator="true" id="p1.1.m1.1.45" xref="p1.1.m1.1.45.cmml"></mo>
      <mrow id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
        <mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">(</mo>
        <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">𝔦</mi>
        <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">γ</mi>
        <mmultiscripts id="p1.1.m1.1.48" xref="p1.1.m1.1.48.cmml">
          <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml"></mo>
          <mprescripts id="p1.1.m1.1.48a" xref="p1.1.m1.1.48.cmml"/>
          <none id="p1.1.m1.1.48b" xref="p1.1.m1.1.48.cmml"/>
          <mo id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml"></mo>
          <none id="p1.1.m1.1.48c" xref="p1.1.m1.1.48.cmml"/>
          <mi id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">ν</mi>
        </mmultiscripts>
        <mmultiscripts id="p1.1.m1.1.49" xref="p1.1.m1.1.49.cmml">
          <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">-</mo>
          <mprescripts id="p1.1.m1.1.49a" xref="p1.1.m1.1.49.cmml"/>
          <none id="p1.1.m1.1.49b" xref="p1.1.m1.1.49.cmml"/>
          <mo id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1.cmml"></mo>
          <mi id="p1.1.m1.1.25.1" xref="p1.1.m1.1.25.1.cmml">ν</mi>
          <none id="p1.1.m1.1.49c" xref="p1.1.m1.1.49.cmml"/>
        </mmultiscripts>
        <msup id="p1.1.m1.1.50" xref="p1.1.m1.1.50.cmml">
          <mi id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">m</mi>
          <mo id="p1.1.m1.1.28.1" xref="p1.1.m1.1.28.1.cmml"></mo>
        </msup>
        <mo id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">)</mo>
      </mrow>
      <msup id="p1.1.m1.1.51" xref="p1.1.m1.1.51.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.31.1" xref="p1.1.m1.1.31.1.cmml"></mo>
      </msup>
      <mo id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">=</mo>
      <mpadded width="+5pt" id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">
        <mn id="p1.1.m1.1.33a" xref="p1.1.m1.1.33.cmml">0</mn>
      </mpadded>
      <mrow id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">
        <mo id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml">(</mo>
        <mpadded width="-3.3pt" id="p1.1.m1.1.52" xref="p1.1.m1.1.52.cmml">
          <msup id="p1.1.m1.1.52a" xref="p1.1.m1.1.52.cmml">
            <mpadded width="-3.3pt" id="p1.1.m1.1.36" xref="p1.1.m1.1.36b.cmml">
              <mtext id="p1.1.m1.1.36a" xref="p1.1.m1.1.36b.cmml">in S </mtext>
            </mpadded>
            <mo id="p1.1.m1.1.39.1" xref="p1.1.m1.1.39.1.cmml"></mo>
          </msup>
        </mpadded>
        <mtext id="p1.1.m1.1.42" xref="p1.1.m1.1.42a.cmml"> </mtext>
        <mo id="p1.1.m1.1.43" xref="p1.1.m1.1.43.cmml">)</mo>
      </mrow>
    </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>
        <cerror id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
          <csymbol cd="ambiguous" id="p1.1.m1.1.4a.cmml" xref="p1.1.m1.1.4">fragments</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">i</csymbol>
          <apply id="p1.1.m1.1.46.cmml" xref="p1.1.m1.1.46">
            <csymbol cd="ambiguous" id="p1.1.m1.1.46.1.cmml" xref="p1.1.m1.1.46">superscript</csymbol>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝛾</ci>
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝜈</ci>
          </apply>
          <apply id="p1.1.m1.1.47.cmml" xref="p1.1.m1.1.47">
            <csymbol cd="ambiguous" id="p1.1.m1.1.47.1.cmml" xref="p1.1.m1.1.47">subscript</csymbol>
            <partialdiff id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝜈</ci>
          </apply>
          <minus 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">m</csymbol>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">)</ci>
        </cerror>
        <csymbol cd="unknown" id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">Ψ</csymbol>
        <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <cn type="integer" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">0</cn>
        <cerror id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
          <csymbol cd="ambiguous" id="p1.1.m1.1.6a.cmml" xref="p1.1.m1.1.6">fragments</csymbol>
          <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">(</ci>
          <ci id="p1.1.m1.1.15a.cmml" xref="p1.1.m1.1.15">
            <mtext id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">in S</mtext>
          </ci>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">)</ci>
        </cerror>
        <ci id="p1.1.m1.1.45.cmml" xref="p1.1.m1.1.45">italic-</ci>
        <cerror id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
          <csymbol cd="ambiguous" id="p1.1.m1.1.13a.cmml" xref="p1.1.m1.1.13">fragments</csymbol>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">i</csymbol>
          <csymbol cd="unknown" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">γ</csymbol>
          <apply id="p1.1.m1.1.48.cmml" xref="p1.1.m1.1.48">
            <csymbol cd="ambiguous" id="p1.1.m1.1.48.1.cmml" xref="p1.1.m1.1.48">superscript</csymbol>
            <apply id="p1.1.m1.1.48.2.cmml" xref="p1.1.m1.1.48">
              <csymbol cd="ambiguous" id="p1.1.m1.1.48.2.1.cmml" xref="p1.1.m1.1.48">superscript</csymbol>
              <partialdiff id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23"/>
              <ci id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">𝜈</ci>
            </apply>
            <ci id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1"></ci>
          </apply>
          <apply id="p1.1.m1.1.49.cmml" xref="p1.1.m1.1.49">
            <csymbol cd="ambiguous" id="p1.1.m1.1.49.1.cmml" xref="p1.1.m1.1.49">superscript</csymbol>
            <apply id="p1.1.m1.1.49.2.cmml" xref="p1.1.m1.1.49">
              <csymbol cd="ambiguous" id="p1.1.m1.1.49.2.1.cmml" xref="p1.1.m1.1.49">subscript</csymbol>
              <minus id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26"/>
              <ci id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25.1">𝜈</ci>
            </apply>
            <ci id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1"></ci>
          </apply>
          <apply id="p1.1.m1.1.50.cmml" xref="p1.1.m1.1.50">
            <csymbol cd="ambiguous" id="p1.1.m1.1.50.1.cmml" xref="p1.1.m1.1.50">superscript</csymbol>
            <ci id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">𝑚</ci>
            <ci id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28.1"></ci>
          </apply>
          <ci id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">)</ci>
        </cerror>
        <apply id="p1.1.m1.1.51.cmml" xref="p1.1.m1.1.51">
          <csymbol cd="ambiguous" id="p1.1.m1.1.51.1.cmml" xref="p1.1.m1.1.51">superscript</csymbol>
          <ci id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">Ψ</ci>
          <ci id="p1.1.m1.1.31.1.cmml" xref="p1.1.m1.1.31.1"></ci>
        </apply>
        <eq id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32"/>
        <cn type="integer" id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33">0</cn>
        <cerror id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">
          <csymbol cd="ambiguous" id="p1.1.m1.1.17a.cmml" xref="p1.1.m1.1.17">fragments</csymbol>
          <ci id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35">(</ci>
          <apply id="p1.1.m1.1.52.cmml" xref="p1.1.m1.1.52">
            <csymbol cd="ambiguous" id="p1.1.m1.1.52.1.cmml" xref="p1.1.m1.1.52">superscript</csymbol>
            <ci id="p1.1.m1.1.36b.cmml" xref="p1.1.m1.1.36">
              <mpadded width="-3.3pt" id="p1.1.m1.1.36.cmml" xref="p1.1.m1.1.36">
                <mtext id="p1.1.m1.1.36a.cmml" xref="p1.1.m1.1.36">in S </mtext>
              </mpadded>
            </ci>
            <ci id="p1.1.m1.1.39.1.cmml" xref="p1.1.m1.1.39.1"></ci>
          </apply>
          <ci id="p1.1.m1.1.42a.cmml" xref="p1.1.m1.1.42">
            <mtext id="p1.1.m1.1.42.cmml" xref="p1.1.m1.1.42"> </mtext>
          </ci>
          <ci id="p1.1.m1.1.43.cmml" xref="p1.1.m1.1.43">)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\left(\mathfrak{i}{{\gamma}^{\nu}}{{\partial}_{\nu%
}}-m\right)\Psi=0\ \left(\text{in S}\right)\quad\left(\mathfrak{i}\gamma{{{}^{%
\prime}}^{\nu}}\partial{{{}^{\prime}}_{\nu}}-m^{\prime}\right)\Psi^{\prime}=0%
\ \left(\text{in S }\!\!^{\prime}\!\!\text{ }\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.783 KB / 406 B) :

(iγννm)Ψ=0(in S)(iγ'ν'νm)Ψ=0(in S  )
<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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><mo>&#x2212;</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mn>0</mn><mspace width="0.5em"/><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtext>in S</mtext></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>&#x03B3;</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><mi>&#x2202;</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><mo>&#x2212;</mo><msup><mi>m</mi><mo>&#x2032;</mo></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi mathvariant="normal">&#x03A8;</mi><mo>&#x2032;</mo></msup><mo>=</mo><mn>0</mn><mspace width="0.5em"/><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtext>in S&#xA0;</mtext></mrow><mspace width="-0.167em"></mspace><msup><mspace width="-0.167em"></mspace><mo>&#x2032;</mo></msup><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mrow data-mjx-texclass="ORD"><mtext>&#xA0;</mtext></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></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 Weitere Eigenschaften der Dirac-Gleichung page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results