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Erschienen in:
2021 | OriginalPaper | Buchkapitel
12. Plotting Functions in Spherical Coordinates
verfasst von : Moisés Cywiak, David Cywiak
Erschienen in: Multi-Platform Graphics Programming with Kivy
Verlag: Apress
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Abstract
In this chapter, we describe fundamental elements for calculating and plotting functions in spherical coordinates. For the working examples, we focus on the so-called spherical harmonics polynomials, encountered on diverse physical problems, as is the case with electron orbitals derived from Schrödinger’s differential equation. These polynomials, represented as Yl, m, are characterized by two positive integers,
l and m, with |m| ≤ l. The polynomials are functions of the zenithal and azimuthal coordinates, as described in the following sections.