Flat coordinates for flat Stäckel systems

2014/06/09 by Krzysztof Marciniak, Maciej Błaszak, Marciniak, Krzysztof +2 · 1 citation
Mathematics · Physics and Astronomy · #70G10 #70H05 #70H06 #70H20 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #msc:70G10 #msc:70H05 #msc:70H06 #msc:70H20 #nlin.SI

paper · pdf · doi:10.48550/arxiv.1406.2117

arxiv created 2014/06/09 · openalex publication_date 2014/06/09 · arxiv updated 2014/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we explicitely construct transformation bewteen separable and flat coordinates for flat Stäckel 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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• Stäckel problem for non-diagonal Killing tensors: Yano-Patterson lifts, algebra of strong symmetries and quadratic in momenta integrals

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