St\"ackel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics

St\"ackel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics

SIGMA 17 (2021), 015, 13 pages 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 St\"ackel class can be obtained from this associated quadric.The St\...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Vollmer, Andreas
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
Physics - Exactly Solvable and Integrable Systems
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:SIGMA 17 (2021), 015, 13 pages 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 St\"ackel class can be obtained from this associated quadric.The St\"ackel class of a second-order maximally conformally superintegrable system is its equivalence class under St\"ackel transformations, i.e., under coupling-constant metamorphosis.
DOI:10.48550/arxiv.2010.03638