Flat coordinates for flat St\"ackel systems

In this article we explicitely construct transformation bewteen separable and flat coordinates for flat St\"ackel systems and exploit the structre of these systems in flat coordinates. In the elliptic case these coordinates become well known generalized elliptical coordinates of Jacobi.

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Hauptverfasser: Marciniak, Krzysztof, Blaszak, Maciej
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article we explicitely construct transformation bewteen separable and flat coordinates for flat St\"ackel systems and exploit the structre of these systems in flat coordinates. In the elliptic case these coordinates become well known generalized elliptical coordinates of Jacobi.
DOI:10.48550/arxiv.1406.2117