Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1594.9 on revision:1594

* Page found: Kontinuitätsgleichung (Quantenmechnik) (eq math.1594.9)

(force rerendering)

Occurrences on the following pages:

Hash: 059e1b773c165ccdbd7382ddafb59e32

TeX (original user input):

\bar{j}=\frac{\hbar }{2mi}\left( \Psi *\nabla \Psi -\Psi \nabla \Psi * \right)

TeX (checked):

{\bar {j}}={\frac {\hbar }{2mi}}\left(\Psi *\nabla \Psi -\Psi \nabla \Psi *\right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (4.267 KB / 979 B) :

j ¯ = 2 m i ( Ψ * Ψ - Ψ Ψ * ) fragments ¯ 𝑗 Planck-constant-over-2-pi 2 𝑚 𝑖 fragments ( Ψ Ψ Ψ Ψ ) {\displaystyle{\displaystyle\bar{j}=\frac{\hbar}{2mi}\left(\Psi*\nabla\Psi-% \Psi\nabla\Psi*\right)}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\bar{j}=\frac{\hbar}{2mi}\left(\Psi*\nabla\Psi-%&#10;\Psi\nabla\Psi*\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
        <mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">j</mi>
        <mo stretchy="false" id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">¯</mo>
      </mover>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
        <mfrac id="p1.1.m1.1.3a" xref="p1.1.m1.1.3.cmml">
          <mi mathvariant="normal" id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml"></mi>
          <mrow id="p1.1.m1.1.3.3" xref="p1.1.m1.1.3.3.cmml">
            <mn id="p1.1.m1.1.3.3.1" xref="p1.1.m1.1.3.3.1.cmml">2</mn>
            <mo id="p1.1.m1.1.3.3.4" xref="p1.1.m1.1.3.3.4.cmml"></mo>
            <mi id="p1.1.m1.1.3.3.2" xref="p1.1.m1.1.3.3.2.cmml">m</mi>
            <mo id="p1.1.m1.1.3.3.4a" xref="p1.1.m1.1.3.3.4.cmml"></mo>
            <mi id="p1.1.m1.1.3.3.3" xref="p1.1.m1.1.3.3.3.cmml">i</mi>
          </mrow>
        </mfrac>
      </mstyle>
      <mrow id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">
        <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">(</mo>
        <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>
        <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>
        <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">-</mo>
        <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>
        <mi mathvariant="normal" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">Ψ</mi>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">*</mo>
        <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.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>
        <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
          <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">¯</ci>
          <ci id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">𝑗</ci>
        </apply>
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
          <divide id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3"/>
          <csymbol cd="latexml" id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">Planck-constant-over-2-pi</csymbol>
          <apply id="p1.1.m1.1.3.3.cmml" xref="p1.1.m1.1.3.3">
            <times id="p1.1.m1.1.3.3.4.cmml" xref="p1.1.m1.1.3.3.4"/>
            <cn type="integer" id="p1.1.m1.1.3.3.1.cmml" xref="p1.1.m1.1.3.3.1">2</cn>
            <ci id="p1.1.m1.1.3.3.2.cmml" xref="p1.1.m1.1.3.3.2">𝑚</ci>
            <ci id="p1.1.m1.1.3.3.3.cmml" xref="p1.1.m1.1.3.3.3">𝑖</ci>
          </apply>
        </apply>
        <cerror id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">
          <csymbol cd="ambiguous" id="p1.1.m1.1.15a.cmml" xref="p1.1.m1.1.15">fragments</csymbol>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">Ψ</csymbol>
          <times id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"></ci>
          <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">Ψ</csymbol>
          <minus id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
          <csymbol cd="unknown" id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">Ψ</csymbol>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"></ci>
          <csymbol cd="unknown" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">Ψ</csymbol>
          <times id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
          <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\bar{j}=\frac{\hbar}{2mi}\left(\Psi*\nabla\Psi-%
\Psi\nabla\Psi*\right)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (899 B / 313 B) :

j¯=2mi(Ψ*ΨΨΨ*)
<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="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><mi>i</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">&#x03A8;</mi><mo>*</mo><mi mathvariant="normal">&#x2207;</mi><mi mathvariant="normal">&#x03A8;</mi><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A8;</mi><mi mathvariant="normal">&#x2207;</mi><mi mathvariant="normal">&#x03A8;</mi><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 Kontinuitätsgleichung (Quantenmechnik) page

Identifiers

  • j¯
  • m
  • i
  • Ψ
  • Ψ
  • Ψ
  • Ψ

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results