Jump to navigation
Jump to search
General
Display information for equation id:math.1597.37 on revision:1597
* Page found: Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände (eq math.1597.37)
(force rerendering)Occurrences on the following pages:
Hash: 136fd1e5637606aa4ea27357471935e1
TeX (original user input):
\Psi (\bar{r},0)=\sum\limits_{n}^{{}}{{}}{{c}_{n}}{{\phi }_{n}}(\bar{r})\begin{matrix}
! \\
= \\
{} \\
\end{matrix}{{\Psi }_{0}}(\bar{r})
TeX (checked):
\Psi ({\bar {r}},0)=\sum \limits _{n}^{}{}{{c}_{n}}{{\phi }_{n}}({\bar {r}}){\begin{matrix}!\\=\\{}\\\end{matrix}}{{\Psi }_{0}}({\bar {r}})
LaTeXML (experimental; uses MathML) rendering
MathML (8.551 KB / 1.469 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\Psi(\bar{r},0)=\sum\limits_{n}{{}}{{c}_{n}}{{\phi% }_{n}}(\bar{r})\begin{matrix}!\\ =\\ \\ \end{matrix}{{\Psi}_{0}}(\bar{r})}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
<mrow id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">Ψ</mi>
<mo id="p1.1.m1.1.23.1.1" xref="p1.1.m1.1.23.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.23.1.2" xref="p1.1.m1.1.23.1.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.23.1.2.1.cmml">(</mo>
<mover accent="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
<mi id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml">r</mi>
<mo stretchy="false" id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">¯</mo>
</mover>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.23.1.2.1.cmml">,</mo>
<mn id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">0</mn>
<mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.23.1.2.1.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
<mrow id="p1.1.m1.1.23.2" xref="p1.1.m1.1.23.2.cmml">
<mstyle displaystyle="true" id="p1.1.m1.1.23.2.1" xref="p1.1.m1.1.23.2.1.cmml">
<munder id="p1.1.m1.1.23.2.1a" xref="p1.1.m1.1.23.2.1.cmml">
<mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">∑</mo>
<mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">n</mi>
</munder>
</mstyle>
<mrow id="p1.1.m1.1.23.2.2" xref="p1.1.m1.1.23.2.2.cmml">
<msub id="p1.1.m1.1.23.2.2.2" xref="p1.1.m1.1.23.2.2.2.cmml">
<mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">c</mi>
<mi id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">n</mi>
</msub>
<mo id="p1.1.m1.1.23.2.2.1" xref="p1.1.m1.1.23.2.2.1.cmml"></mo>
<msub id="p1.1.m1.1.23.2.2.3" xref="p1.1.m1.1.23.2.2.3.cmml">
<mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">ϕ</mi>
<mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">n</mi>
</msub>
<mo id="p1.1.m1.1.23.2.2.1a" xref="p1.1.m1.1.23.2.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.23.2.2.4" xref="p1.1.m1.1.15.cmml">
<mo stretchy="false" id="p1.1.m1.1.14" xref="p1.1.m1.1.15.cmml">(</mo>
<mover accent="true" id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">
<mi id="p1.1.m1.1.15.2" xref="p1.1.m1.1.15.2.cmml">r</mi>
<mo stretchy="false" id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">¯</mo>
</mover>
<mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.15.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.23.2.2.1b" xref="p1.1.m1.1.23.2.2.1.cmml"></mo>
<mtable rowspacing="0pt" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">
<mtr id="p1.1.m1.1.17a" xref="p1.1.m1.1.17.cmml">
<mtd columnalign="center" id="p1.1.m1.1.17b" xref="p1.1.m1.1.17.cmml">
<mo lspace="0pt" rspace="3.5pt" id="p1.1.m1.1.17.1.1.1" xref="p1.1.m1.1.17.1.1.1.cmml">!</mo>
</mtd>
</mtr>
<mtr id="p1.1.m1.1.17c" xref="p1.1.m1.1.17.cmml">
<mtd columnalign="center" id="p1.1.m1.1.17d" xref="p1.1.m1.1.17.cmml">
<mo id="p1.1.m1.1.17.2.1.1" xref="p1.1.m1.1.17.2.1.1.cmml">=</mo>
</mtd>
</mtr>
<mtr id="p1.1.m1.1.17e" xref="p1.1.m1.1.17.cmml">
<mtd columnalign="center" id="p1.1.m1.1.17f" xref="p1.1.m1.1.17.cmml">
<mi id="p1.1.m1.1.17.3.1.1" xref="p1.1.m1.1.17.3.1.1.cmml"/>
</mtd>
</mtr>
</mtable>
<mo id="p1.1.m1.1.23.2.2.1c" xref="p1.1.m1.1.23.2.2.1.cmml"></mo>
<msub id="p1.1.m1.1.23.2.2.5" xref="p1.1.m1.1.23.2.2.5.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">Ψ</mi>
<mn id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">0</mn>
</msub>
<mo id="p1.1.m1.1.23.2.2.1d" xref="p1.1.m1.1.23.2.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.23.2.2.6" xref="p1.1.m1.1.21.cmml">
<mo stretchy="false" id="p1.1.m1.1.20" xref="p1.1.m1.1.21.cmml">(</mo>
<mover accent="true" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
<mi id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">r</mi>
<mo stretchy="false" id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">¯</mo>
</mover>
<mo stretchy="false" id="p1.1.m1.1.22" xref="p1.1.m1.1.21.cmml">)</mo>
</mrow>
</mrow>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">
<eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
<apply id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1">
<times id="p1.1.m1.1.23.1.1.cmml" xref="p1.1.m1.1.23.1.1"/>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">Ψ</ci>
<interval closure="open" id="p1.1.m1.1.23.1.2.1.cmml" xref="p1.1.m1.1.23.1.2">
<apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
<ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">¯</ci>
<ci id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">𝑟</ci>
</apply>
<cn type="integer" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">0</cn>
</interval>
</apply>
<apply id="p1.1.m1.1.23.2.cmml" xref="p1.1.m1.1.23.2">
<apply id="p1.1.m1.1.23.2.1.cmml" xref="p1.1.m1.1.23.2.1">
<csymbol cd="ambiguous" id="p1.1.m1.1.23.2.1.1.cmml" xref="p1.1.m1.1.23.2.1">subscript</csymbol>
<sum id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
<ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝑛</ci>
</apply>
<apply id="p1.1.m1.1.23.2.2.cmml" xref="p1.1.m1.1.23.2.2">
<times id="p1.1.m1.1.23.2.2.1.cmml" xref="p1.1.m1.1.23.2.2.1"/>
<apply id="p1.1.m1.1.23.2.2.2.cmml" xref="p1.1.m1.1.23.2.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.23.2.2.2.1.cmml" xref="p1.1.m1.1.23.2.2.2">subscript</csymbol>
<ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑐</ci>
<ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">𝑛</ci>
</apply>
<apply id="p1.1.m1.1.23.2.2.3.cmml" xref="p1.1.m1.1.23.2.2.3">
<csymbol cd="ambiguous" id="p1.1.m1.1.23.2.2.3.1.cmml" xref="p1.1.m1.1.23.2.2.3">subscript</csymbol>
<ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">italic-ϕ</ci>
<ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝑛</ci>
</apply>
<apply id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.23.2.2.4">
<ci id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">¯</ci>
<ci id="p1.1.m1.1.15.2.cmml" xref="p1.1.m1.1.15.2">𝑟</ci>
</apply>
<matrix id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">
<matrixrow id="p1.1.m1.1.17a.cmml" xref="p1.1.m1.1.17">
<factorial id="p1.1.m1.1.17.1.1.1.cmml" xref="p1.1.m1.1.17.1.1.1"/>
</matrixrow>
<matrixrow id="p1.1.m1.1.17b.cmml" xref="p1.1.m1.1.17">
<eq id="p1.1.m1.1.17.2.1.1.cmml" xref="p1.1.m1.1.17.2.1.1"/>
</matrixrow>
<matrixrow id="p1.1.m1.1.17c.cmml" xref="p1.1.m1.1.17">
<csymbol cd="latexml" id="p1.1.m1.1.17.3.1.1.cmml" xref="p1.1.m1.1.17.3.1.1">absent</csymbol>
</matrixrow>
</matrix>
<apply id="p1.1.m1.1.23.2.2.5.cmml" xref="p1.1.m1.1.23.2.2.5">
<csymbol cd="ambiguous" id="p1.1.m1.1.23.2.2.5.1.cmml" xref="p1.1.m1.1.23.2.2.5">subscript</csymbol>
<ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">0</cn>
</apply>
<apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.23.2.2.6">
<ci id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">¯</ci>
<ci id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21.2">𝑟</ci>
</apply>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\Psi(\bar{r},0)=\sum\limits_{n}{{}}{{c}_{n}}{{\phi%
}_{n}}(\bar{r})\begin{matrix}!\\
=\\
\\
\end{matrix}{{\Psi}_{0}}(\bar{r})}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (1.298 KB / 375 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">Ψ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"></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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>!</mi></mtd></mtr><mtr><mtd><mo>=</mo></mtd></mtr><mtr><mtd></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo></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 Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results