Jump to navigation
Jump to search
General
Display information for equation id:math.1620.29 on revision:1620
* Page found: Operatoren im Hilbertraum (eq math.1620.29)
(force rerendering)Occurrences on the following pages:
Hash: ef00108384b1730b9d2a7e8e410f0c4c
TeX (original user input):
\begin{align}
& \left\langle x | \Psi \right\rangle =\Psi (x)=\sum\limits_{n=0}^{\infty }{{}}{{c}_{n}}{{\phi }_{n}}(x)=\sum\limits_{n=0}^{\infty }{{}}\left\langle n | \Psi \right\rangle \left\langle x | n \right\rangle \\
& \Rightarrow \sum\limits_{n=0}^{\infty }{{}}\left| n \right\rangle \left\langle n \right|=1\ \\
\end{align}
TeX (checked):
{\begin{aligned}&\left\langle x|\Psi \right\rangle =\Psi (x)=\sum \limits _{n=0}^{\infty }{}{{c}_{n}}{{\phi }_{n}}(x)=\sum \limits _{n=0}^{\infty }{}\left\langle n|\Psi \right\rangle \left\langle x|n\right\rangle \\&\Rightarrow \sum \limits _{n=0}^{\infty }{}\left|n\right\rangle \left\langle n\right|=1\ \\\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 (2.437 KB / 458 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"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo stretchy="false">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mi>Ψ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>n</mi><mo stretchy="false">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo stretchy="false">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></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><mn>1</mn><mtext> </mtext></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 Operatoren im Hilbertraum page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results