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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}
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\chapterauthor{Manuel Cattaneo, Naoki Pross}

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Ideas and current research goals
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- 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
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- 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

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