Jump to navigation Jump to search

General

Display information for equation id:math.1803.51 on revision:1803

* Page found: Dirac- Gleichung für Elektronen (eq math.1803.51)

(force rerendering)

Occurrences on the following pages:

Hash: 116a91dc1976e036072790d7e77f87a8

TeX (original user input): 

\left( \Psi *{{\partial }^{0}}\Psi -\Psi {{\partial }^{0}}\Psi * \right)={{J}^{0}}=\frac{1}{c}\left( \Psi *\dot{\Psi }-\Psi \dot{\Psi }* \right)

LaTeXML (experimental; uses MathML) rendering

MathML (6.774 KB / 1.229 KB) :

( Ψ * ∂ 0 Ψ - Ψ ∂ 0 Ψ * ) = J 0 = 1 c ( Ψ * Ψ ˙ - Ψ Ψ ˙ * ) fragments fragments ( Ψ superscript 0 Ψ Ψ superscript 0 Ψ ) superscript 𝐽 0 1 𝑐 fragments ( Ψ ˙ Ψ Ψ ˙ Ψ ) {\displaystyle{\displaystyle\left(\Psi*{{\partial}^{0}}\Psi-\Psi{{\partial}^{0% }}\Psi*\right)={{J}^{0}}=\frac{1}{c}\left(\Psi*\dot{\Psi}-\Psi\dot{\Psi}*% \right)}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left(\Psi*{{\partial}^{0}}\Psi-\Psi{{\partial}^{0%&#10;}}\Psi*\right)={{J}^{0}}=\frac{1}{c}\left(\Psi*\dot{\Psi}-\Psi\dot{\Psi}*%&#10;\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mrow id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">(</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">*</mo>
        <msup id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">
          <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">∂</mo>
          <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">0</mn>
        </msup>
        <mi mathvariant="normal" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">Ψ</mi>
        <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.m1.1.29" xref="p1.1.m1.1.29.cmml">
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">∂</mo>
          <mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">0</mn>
        </msup>
        <mi mathvariant="normal" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">*</mo>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">=</mo>
      <msup id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">
        <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">J</mi>
        <mn id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">0</mn>
      </msup>
      <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">=</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
        <mfrac id="p1.1.m1.1.18a" xref="p1.1.m1.1.18.cmml">
          <mn id="p1.1.m1.1.18.2" xref="p1.1.m1.1.18.2.cmml">1</mn>
          <mi id="p1.1.m1.1.18.3" xref="p1.1.m1.1.18.3.cmml">c</mi>
        </mfrac>
      </mstyle>
      <mrow id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
        <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>
        <mo id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">*</mo>
        <mover accent="true" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
          <mi mathvariant="normal" id="p1.1.m1.1.22.2" xref="p1.1.m1.1.22.2.cmml">Ψ</mi>
          <mo id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">˙</mo>
        </mover>
        <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">-</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">Ψ</mi>
        <mover accent="true" id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">
          <mi mathvariant="normal" id="p1.1.m1.1.25.2" xref="p1.1.m1.1.25.2.cmml">Ψ</mi>
          <mo id="p1.1.m1.1.25.1" xref="p1.1.m1.1.25.1.cmml">˙</mo>
        </mover>
        <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">*</mo>
        <mo id="p1.1.m1.1.27" xref="p1.1.m1.1.27.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.m1.1.5.cmml" xref="p1.1.m1.1.5">
          <csymbol cd="ambiguous" id="p1.1.m1.1.5a.cmml" xref="p1.1.m1.1.5">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">Ψ</csymbol>
          <times id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
          <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>
            <partialdiff id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
            <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">0</cn>
          </apply>
          <csymbol cd="unknown" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">Ψ</csymbol>
          <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">Ψ</csymbol>
          <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">superscript</csymbol>
            <partialdiff id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
            <cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">0</cn>
          </apply>
          <csymbol cd="unknown" id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">Ψ</csymbol>
          <times id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">)</ci>
        </cerror>
        <eq id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
        <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.m1.1.15.cmml" xref="p1.1.m1.1.15">𝐽</ci>
          <cn type="integer" id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">0</cn>
        </apply>
        <eq id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17"/>
        <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
          <divide id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18"/>
          <cn type="integer" id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18.2">1</cn>
          <ci id="p1.1.m1.1.18.3.cmml" xref="p1.1.m1.1.18.3">𝑐</ci>
        </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.m1.1.19.cmml" xref="p1.1.m1.1.19">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">Ψ</csymbol>
          <times id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21"/>
          <apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
            <ci id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">˙</ci>
            <ci id="p1.1.m1.1.22.2.cmml" xref="p1.1.m1.1.22.2">Ψ</ci>
          </apply>
          <minus id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23"/>
          <csymbol cd="unknown" id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">Ψ</csymbol>
          <apply id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">
            <ci id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25.1">˙</ci>
            <ci id="p1.1.m1.1.25.2.cmml" xref="p1.1.m1.1.25.2">Ψ</ci>
          </apply>
          <times id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26"/>
          <ci id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\left(\Psi*{{\partial}^{0}}\Psi-\Psi{{\partial}^{0%
}}\Psi*\right)={{J}^{0}}=\frac{1}{c}\left(\Psi*\dot{\Psi}-\Psi\dot{\Psi}*%
\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (1.327 KB / 326 B) :

(Ψ*∂0Ψ−Ψ∂0Ψ*)=J0=1c(Ψ*Ψ˙−ΨΨ˙*)
<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><mi mathvariant="normal">&#x03A8;</mi><mo>*</mo><msup><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi mathvariant="normal">&#x03A8;</mi><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A8;</mi><msup><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi mathvariant="normal">&#x03A8;</mi><mo>*</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">&#x03A8;</mi><mo>*</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="normal">&#x03A8;</mi><mo>˙</mo></mover></mrow></mrow><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="normal">&#x03A8;</mi><mo>˙</mo></mover></mrow></mrow><mo>*</mo><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 Dirac- Gleichung für Elektronen page

Identifiers

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"