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% main.tex -- Paper zum Thema <kugel>
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% (c) 2020 Hochschule Rapperswil
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\chapter{Recurrence Relations for Spherical Harmonics in Quantum Mechanics\label{chapter:kugel}}
\lhead{Recurrence Relations in Quantum Mechanics}
\begin{refsection}
\chapterauthor{Manuel Cattaneo, Naoki Pross}
\begin{verbatim}
Ideas and current research goals
--------------------------------
- Recurrence relations for spherical harmonics
- Associated Legendre polynomials
- Rodrigues' type formula aka Rodrigues' formula
- Applications:
* Quantization of angular momentum
* Gravitational field measurements (NASA ebb and flow, ESA goce)
* Literally anything that needs basis functions on the surface of a sphere
Literature
----------
- Nichtkommutative Bildverarbeitung, T. Mendez, p57+
- Linear Algebra Done Right, S. Axler, p212,221,231,237
- Introduction to Quantum Mechanics, D. J. Griffith, p201+
- Seminar Quantenmechanik, A. Müller, p101,106,114,121
- Introduction to Partial Differential Equations, J. Oliver, p510+
- Partial Differential Equations in Engineering Problems, K. Miller, p175,190
\end{verbatim}
\printbibliography[heading=subbibliography]
\end{refsection}
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