Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1676.88 on revision:1676
* Page found: Kugelsymmetrische Potentiale (eq math.1676.88)
(force rerendering)Occurrences on the following pages:
Hash: 504f5856396441bd221ca786528907e5
TeX (original user input):
\begin{align}
& -\frac{{{\hbar }^{2}}}{2m}\frac{{{d}^{2}}}{d{{r}^{2}}}u=Eu \\
& \Rightarrow u\tilde{\ }{{e}^{-kr}} \\
& k:=\frac{1}{\hbar }\sqrt{2m\left( -E \right)} \\
\end{align}
TeX (checked):
{\begin{aligned}&-{\frac {{\hbar }^{2}}{2m}}{\frac {{d}^{2}}{d{{r}^{2}}}}u=Eu\\&\Rightarrow u{\tilde {\ }}{{e}^{-kr}}\\&k:={\frac {1}{\hbar }}{\sqrt {2m\left(-E\right)}}\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (1.882 KB / 449 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mi>u</mi><mo stretchy="false">=</mo><mi>E</mi><mi>u</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi>u</mi><mover><mtext> </mtext><mo>~</mo></mover><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>k</mi><mi>r</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>k</mi><mo stretchy="false">:=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mi>E</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msqrt></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></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 Kugelsymmetrische Potentiale page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results