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
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description 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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subjects Physics - Exactly Solvable and Integrable Systems
title Flat coordinates for flat St\"ackel systems
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