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author | LordMcFungus <mceagle117@gmail.com> | 2022-03-08 15:04:08 +0100 |
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committer | GitHub <noreply@github.com> | 2022-03-08 15:04:08 +0100 |
commit | 83df2bd525918600dd37f10b0abeacb8e397c54d (patch) | |
tree | 4960c853c60a4e2237c8ec17ba4c4668c5089509 /buch/papers/laguerre/wasserstoff.tex | |
parent | improve slides (diff) | |
parent | fix buchcover (diff) | |
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Merge pull request #1 from AndreasFMueller/master
update
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} |