Jump to navigation
Jump to search
General
Display information for equation id:math.1653.62 on revision:1653
* Page found: Der harmonische Oszillator (eq math.1653.62)
(force rerendering)Occurrences on the following pages:
Hash: 2d8d24a3366391aa7ae0055bcbb1c2e7
TeX (original user input):
\begin{align}
& N:={{a}^{+}}a \\
& N\left| n \right\rangle ={{a}^{+}}a\left| n \right\rangle ={{a}^{+}}\sqrt{n}\left| n-1 \right\rangle =\sqrt{n}\sqrt{n}\left| n \right\rangle =n\left| n \right\rangle \\
\end{align}
TeX (checked):
{\begin{aligned}&N:={{a}^{+}}a\\&N\left|n\right\rangle ={{a}^{+}}a\left|n\right\rangle ={{a}^{+}}{\sqrt {n}}\left|n-1\right\rangle ={\sqrt {n}}{\sqrt {n}}\left|n\right\rangle =n\left|n\right\rangle \\\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 (1.78 KB / 354 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"><mi>N</mi><mo stretchy="false">:=</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup><mi>a</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>N</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup><mi>a</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup><mrow data-mjx-texclass="ORD"><msqrt><mi>n</mi></msqrt></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo stretchy="false">−</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mi>n</mi></msqrt></mrow><mrow data-mjx-texclass="ORD"><msqrt><mi>n</mi></msqrt></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mi>n</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></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 Der harmonische Oszillator page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results