论文标题

非分类可促进系统的stäckel等效性和不变的四边形

Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics

论文作者

Vollmer, Andreas

论文摘要

尺寸2中的非分级二阶二阶最大共缩合系统自然会导致具有依赖位置系数的四倍。可以从此相关的四边形中获得系统的stäckel类。

A non-degenerate second-order maximally conformally superintegrable system in dimension 2 naturally gives rise to a quadric with position dependent coefficients. It is shown how the system's Stäckel class can be obtained from this associated quadric.The Stäckel class of a second-order maximally conformally superintegrable system is its equivalence class under Stäckel transformations, i.e., under coupling-constant metamorphosis.

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