diff options
| author | Andreas Müller <andreas.mueller@ost.ch> | 2022-03-07 21:09:47 +0100 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2022-03-07 21:09:47 +0100 |
| commit | 5812064b4f37ce9bb8219f5c6ad78ec5ad2356ed (patch) | |
| tree | 2e8be71f49833559e8103b6ce73489c4c45647b9 /buch/papers/laguerre/wasserstoff.tex | |
| parent | Merge pull request #2 from ntobler/master (diff) | |
| parent | Change title, name, added some formulas and structured paper (diff) | |
| download | SeminarSpezielleFunktionen-5812064b4f37ce9bb8219f5c6ad78ec5ad2356ed.tar.gz SeminarSpezielleFunktionen-5812064b4f37ce9bb8219f5c6ad78ec5ad2356ed.zip | |
Merge pull request #3 from p1mueller/master
Laguerre Polynomials: Added title, author name and paper structure (first draft)
Diffstat (limited to 'buch/papers/laguerre/wasserstoff.tex')
| -rw-r--r-- | buch/papers/laguerre/wasserstoff.tex | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/buch/papers/laguerre/wasserstoff.tex b/buch/papers/laguerre/wasserstoff.tex new file mode 100644 index 0000000..caaa6af --- /dev/null +++ b/buch/papers/laguerre/wasserstoff.tex @@ -0,0 +1,29 @@ +% +% wasserstoff.tex +% +% (c) 2022 Patrik Müller, Ostschweizer Fachhochschule +% +\section{Radialer Schwingungsanteil eines Wasserstoffatoms +\label{laguerre:section:radial_h_atom}} + +\begin{align} + \nonumber + - \frac{\hbar^2}{2m} + & + \left( + \frac{1}{r^2} \pdv{}{r} + \left( r^2 \pdv{}{r} \right) + + + \frac{1}{r^2 \sin \vartheta} \pdv{}{\vartheta} + \left( \sin \vartheta \pdv{}{\vartheta} \right) + + + \frac{1}{r^2 \sin^2 \vartheta} \pdv[2]{}{\varphi} + \right) + u(r, \vartheta, \varphi) + \\ + & - + \frac{e^2}{4 \pi \epsilon_0 r} u(r, \vartheta, \varphi) + = + E u(r, \vartheta, \varphi) + \label{laguerre:pdg_h_atom} +\end{align} |