Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version of parabolic coordinates is obtained by rotating the two-dimensional system about the symmetry axis of the parabolas.
Parabolic coordinates have found many applications, e.g., the treatment of the Stark effect and the potential theory of the edges.
Read more about Parabolic Coordinates: Two-dimensional Parabolic Coordinates, Two-dimensional Scale Factors, Three-dimensional Parabolic Coordinates, Three-dimensional Scale Factors, Bibliography
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