Jump to navigation Jump to search

General

Display information for equation id:math.1820.16 on revision:1820

* Page found: Der nichtrelativistische Grenzfall (eq math.1820.16)

(force rerendering)

Occurrences on the following pages:

Hash: b94c2e8a579013d6273389821cab77a4

TeX (original user input):

\begin{align}

& i\hbar {{{\dot{\Psi }}}_{a}}=c\sum\limits_{\mu =1}^{3}{{}}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\Psi }_{b}}+\left( {{m}_{0}}{{c}^{2}}+e\Phi  \right){{\Psi }_{a}} \\

& i\hbar {{{\dot{\Psi }}}_{b}}=c\sum\limits_{\mu =1}^{3}{{}}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\Psi }_{a}}+\left( -{{m}_{0}}{{c}^{2}}+e\Phi  \right){{\Psi }_{b}} \\

\end{align}

TeX (checked):

{\begin{aligned}&i\hbar {{\dot {\Psi }}_{a}}=c\sum \limits _{\mu =1}^{3}{}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\Psi }_{b}}+\left({{m}_{0}}{{c}^{2}}+e\Phi \right){{\Psi }_{a}}\\&i\hbar {{\dot {\Psi }}_{b}}=c\sum \limits _{\mu =1}^{3}{}{{\sigma }^{\mu }}{{\pi }^{\mu }}{{\Psi }_{a}}+\left(-{{m}_{0}}{{c}^{2}}+e\Phi \right){{\Psi }_{b}}\\\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (2.796 KB / 506 B) :

iΨ˙a=cμ=13σμπμΨb+(m0c2+eΦ)ΨaiΨ˙b=cμ=13σμπμΨa+(m0c2+eΦ)Ψb
<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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>i</mi><mi data-mjx-alternate="1">&#x210F;</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="normal">&#x03A8;</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo>=</mo><mi>c</mi><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><msup><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msup><mi>&#x03C0;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>e</mi><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>i</mi><mi data-mjx-alternate="1">&#x210F;</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="normal">&#x03A8;</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo>=</mo><mi>c</mi><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><msup><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msup><mi>&#x03C0;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>&#x2212;</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>e</mi><mi mathvariant="normal">&#x03A6;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></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 Der nichtrelativistische Grenzfall page

Identifiers

  • i
  • Ψ˙a
  • c
  • μ
  • σ
  • μ
  • π
  • μ
  • Ψb
  • m0
  • c
  • e
  • Φ
  • Ψa
  • i
  • Ψ˙b
  • c
  • μ
  • σ
  • μ
  • π
  • μ
  • Ψa
  • m0
  • c
  • e
  • Φ
  • Ψb

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results