Jump to navigation
Jump to search
General
Display information for equation id:math.1596.40 on revision:1596
* Page found: Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände (eq math.1596.40)
(force rerendering)Occurrences on the following pages:
Hash: f172b864a2b31aeb4d4909e19c1dd16a
TeX (original user input):
\begin{align}
& \int_{{{R}^{3}}}^{{}}{{{\phi }_{m}}*(\bar{r})}{{\phi }_{n}}(\bar{r}){{d}^{3}}r={{\delta }_{nm}}\Rightarrow \sum\limits_{n}{{{c}_{n}}}\int_{{{R}^{3}}}^{{}}{{{\phi }_{m}}*(\bar{r})}{{\phi }_{n}}(\bar{r}){{d}^{3}}r=\sum\limits_{n}{{{c}_{n}}}{{\delta }_{nm}}={{c}_{m}} \\
& \sum\limits_{n}{{{c}_{n}}}\int_{{{R}^{3}}}^{{}}{{{\phi }_{m}}*(\bar{r})}{{\phi }_{n}}(\bar{r}){{d}^{3}}r=\int_{{{R}^{3}}}^{{}}{{{\Psi }_{0}}(\bar{r}){{\phi }_{m}}*(\bar{r}){{d}^{3}}r}={{c}_{m}} \\
\end{align}
LaTeXML (experimental; uses MathML) rendering
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (4.835 KB / 523 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><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>*</mo><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><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><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow></msub><mo>⇒</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munder><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>*</mo><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><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><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munder><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow></msub><mo>=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munder><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>*</mo><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><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><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><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><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>*</mo><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><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi></mrow><mo>=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></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 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