- testwiki

General

Display information for equation id:math.2663.17 on revision:2663

* Page found: Klein Gordon im (Vektor)Potential, Eichinvarianz (eq math.2663.17)

Occurrences on the following pages:

Klein Gordon im (Vektor)Potential, Eichinvarianz Eq: math.2665.17

Hash: 0c1390cf40398a140e9e287489bdcfb7

TeX (original user input):

\Psi \left( \underline{x},t \right)\to \Psi \left( \underline{x},t \right){{e}^{\mathfrak{i} \varphi \left( \underline{x},t \right)}}

TeX (checked):

\Psi \left({\underline {x}},t\right)\to \Psi \left({\underline {x}},t\right){{e}^{{\mathfrak {i}}\varphi \left({\underline {x}},t\right)}}

LaTeXML (experimental; uses MathML) rendering

MathML (5.986 KB / 1.065 KB) :

{\displaystyle{\displaystyle\Psi\left(\underline{x},t\right)\to\Psi\left(% \underline{x},t\right){{e}^{\mathfrak{i}\varphi\left(\underline{x},t\right)}}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\Psi\left(\underline{x},t\right)\to\Psi\left(%&#10;\underline{x},t\right){{e}^{\mathfrak{i}\varphi\left(\underline{x},t\right)}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
      <mrow id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.16.1.1" xref="p1.1.m1.1.16.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.16.1.2" xref="p1.1.m1.1.16.1.2.1.cmml">
          <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.16.1.2.1.cmml">(</mo>
          <munder accentunder="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
            <mi id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml">x</mi>
            <mo id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">¯</mo>
          </munder>
          <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.16.1.2.1.cmml">,</mo>
          <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">t</mi>
          <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.16.1.2.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">→</mo>
      <mrow id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.16.2.1" xref="p1.1.m1.1.16.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.16.2.2" xref="p1.1.m1.1.16.2.2.1.cmml">
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.16.2.2.1.cmml">(</mo>
          <munder accentunder="true" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
            <mi id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">x</mi>
            <mo id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">¯</mo>
          </munder>
          <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.16.2.2.1.cmml">,</mo>
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">t</mi>
          <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.16.2.2.1.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.16.2.1a" xref="p1.1.m1.1.16.2.1.cmml">⁢</mo>
        <msup id="p1.1.m1.1.16.2.3" xref="p1.1.m1.1.16.2.3.cmml">
          <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">e</mi>
          <mrow id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">
            <mi id="p1.1.m1.1.15.1.1" xref="p1.1.m1.1.15.1.1.cmml">𝔦</mi>
            <mo id="p1.1.m1.1.15.1.8" xref="p1.1.m1.1.15.1.8.cmml">⁢</mo>
            <mi id="p1.1.m1.1.15.1.2" xref="p1.1.m1.1.15.1.2.cmml">φ</mi>
            <mo id="p1.1.m1.1.15.1.8a" xref="p1.1.m1.1.15.1.8.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.15.1.9" xref="p1.1.m1.1.15.1.9.1.cmml">
              <mo id="p1.1.m1.1.15.1.3" xref="p1.1.m1.1.15.1.9.1.cmml">(</mo>
              <munder accentunder="true" id="p1.1.m1.1.15.1.4" xref="p1.1.m1.1.15.1.4.cmml">
                <mi id="p1.1.m1.1.15.1.4.2" xref="p1.1.m1.1.15.1.4.2.cmml">x</mi>
                <mo id="p1.1.m1.1.15.1.4.1" xref="p1.1.m1.1.15.1.4.1.cmml">¯</mo>
              </munder>
              <mo id="p1.1.m1.1.15.1.5" xref="p1.1.m1.1.15.1.9.1.cmml">,</mo>
              <mi id="p1.1.m1.1.15.1.6" xref="p1.1.m1.1.15.1.6.cmml">t</mi>
              <mo id="p1.1.m1.1.15.1.7" xref="p1.1.m1.1.15.1.9.1.cmml">)</mo>
            </mrow>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
        <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">→</ci>
        <apply id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">
          <times id="p1.1.m1.1.16.1.1.cmml" xref="p1.1.m1.1.16.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">Ψ</ci>
          <interval closure="open" id="p1.1.m1.1.16.1.2.1.cmml" xref="p1.1.m1.1.16.1.2">
            <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
              <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">¯</ci>
              <ci id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">𝑥</ci>
            </apply>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑡</ci>
          </interval>
        </apply>
        <apply id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">
          <times id="p1.1.m1.1.16.2.1.cmml" xref="p1.1.m1.1.16.2.1"/>
          <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">Ψ</ci>
          <interval closure="open" id="p1.1.m1.1.16.2.2.1.cmml" xref="p1.1.m1.1.16.2.2">
            <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
              <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">¯</ci>
              <ci id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">𝑥</ci>
            </apply>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑡</ci>
          </interval>
          <apply id="p1.1.m1.1.16.2.3.cmml" xref="p1.1.m1.1.16.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.3.1.cmml" xref="p1.1.m1.1.16.2.3">superscript</csymbol>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑒</ci>
            <apply id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">
              <times id="p1.1.m1.1.15.1.8.cmml" xref="p1.1.m1.1.15.1.8"/>
              <ci id="p1.1.m1.1.15.1.1.cmml" xref="p1.1.m1.1.15.1.1">𝔦</ci>
              <ci id="p1.1.m1.1.15.1.2.cmml" xref="p1.1.m1.1.15.1.2">𝜑</ci>
              <interval closure="open" id="p1.1.m1.1.15.1.9.1.cmml" xref="p1.1.m1.1.15.1.9">
                <apply id="p1.1.m1.1.15.1.4.cmml" xref="p1.1.m1.1.15.1.4">
                  <ci id="p1.1.m1.1.15.1.4.1.cmml" xref="p1.1.m1.1.15.1.4.1">¯</ci>
                  <ci id="p1.1.m1.1.15.1.4.2.cmml" xref="p1.1.m1.1.15.1.4.2">𝑥</ci>
                </apply>
                <ci id="p1.1.m1.1.15.1.6.cmml" xref="p1.1.m1.1.15.1.6">𝑡</ci>
              </interval>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\Psi\left(\underline{x},t\right)\to\Psi\left(%
\underline{x},t\right){{e}^{\mathfrak{i}\varphi\left(\underline{x},t\right)}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimental; no images) rendering

MathML (1.085 KB / 300 B) :

Ψ (\underline{x}, t) \to Ψ (\underline{x}, t) e^{i φ (\underline{x}, t)}

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>x</mi><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo accent="false">&#x2192;</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>x</mi><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>&#x03C6;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>x</mi><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$Ψ$

$\underline{x}$

$t$

$Ψ$

$\underline{x}$

$t$

$e$

$i$

$φ$

$\underline{x}$

$t$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

Search