From ca43e5660ccbd3f4beaaa2073ce7dda05a80eff6 Mon Sep 17 00:00:00 2001 From: Nao Pross Date: Mon, 1 Aug 2022 19:58:09 +0200 Subject: Kugel: Introduction and preliminaries (not spherical harmonics, yet) --- buch/papers/kugel/main.tex | 37 +++++++++---------------------------- 1 file changed, 9 insertions(+), 28 deletions(-) (limited to 'buch/papers/kugel/main.tex') diff --git a/buch/papers/kugel/main.tex b/buch/papers/kugel/main.tex index 06368af..98d9cb2 100644 --- a/buch/papers/kugel/main.tex +++ b/buch/papers/kugel/main.tex @@ -1,39 +1,20 @@ -% +% vim:ts=2 sw=2 et: % main.tex -- Paper zum Thema % % (c) 2020 Hochschule Rapperswil % -\chapter{Recurrence Relations for Spherical Harmonics in Quantum Mechanics\label{chapter:kugel}} -\lhead{Recurrence Relations in Quantum Mechanics} +\begin{otherlanguage}{english} +\chapter{Spherical Harmonics\label{chapter:kugel}} +\lhead{Spherical Harmonics} \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} - +\input{papers/kugel/introduction} +\input{papers/kugel/preliminaries} +\input{papers/kugel/spherical-harmonics} +\input{papers/kugel/applications} \printbibliography[heading=subbibliography] \end{refsection} +\end{otherlanguage} -- cgit v1.2.1