Jump to navigation
Jump to search
General
Display information for equation id:math.1820.1 on revision:1820
* Page found: Der nichtrelativistische Grenzfall (eq math.1820.1)
(force rerendering)Occurrences on the following pages:
Hash: 98ab90c983f47be184b89ae32a50ae42
TeX (original user input):
\begin{align}
& H={{m}_{0}}{{c}^{2}}\beta ={{m}_{0}}{{c}^{2}}\left( \begin{matrix}
1 & {} & {} & {} \\
{} & 1 & {} & {} \\
{} & {} & -1 & {} \\
{} & {} & {} & -1 \\
\end{matrix} \right) \\
& \Psi =\left( \begin{matrix}
{{\Psi }_{1}} \\
{{\Psi }_{2}} \\
{{\Psi }_{3}} \\
{{\Psi }_{4}} \\
\end{matrix} \right)\Rightarrow \beta \Psi =\left( \begin{matrix}
{{\Psi }_{1}} \\
{{\Psi }_{2}} \\
-{{\Psi }_{3}} \\
-{{\Psi }_{4}} \\
\end{matrix} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&H={{m}_{0}}{{c}^{2}}\beta ={{m}_{0}}{{c}^{2}}\left({\begin{matrix}1&{}&{}&{}\\{}&1&{}&{}\\{}&{}&-1&{}\\{}&{}&{}&-1\\\end{matrix}}\right)\\&\Psi =\left({\begin{matrix}{{\Psi }_{1}}\\{{\Psi }_{2}}\\{{\Psi }_{3}}\\{{\Psi }_{4}}\\\end{matrix}}\right)\Rightarrow \beta \Psi =\left({\begin{matrix}{{\Psi }_{1}}\\{{\Psi }_{2}}\\-{{\Psi }_{3}}\\-{{\Psi }_{4}}\\\end{matrix}}\right)\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (2.836 KB / 449 B) :
<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>H</mi><mo>=</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><mi>β</mi><mo>=</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>1</mn></mtd><mtd></mtd><mtd></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mn>1</mn></mtd><mtd></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd></mtd><mtd><mo>−</mo><mn>1</mn></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd></mtd><mtd></mtd><mtd><mo>−</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi mathvariant="normal">Ψ</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>⇒</mo><mi>β</mi><mi mathvariant="normal">Ψ</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>−</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>−</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></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
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results