Bibliographic Details
| Title: |
Joint invariants of killing tensors and the Smorodinsky–Winternitz superintegrable potential. |
| Authors: |
Smirnov, Roman G.1 (AUTHOR) Roman.Smirnov@dal.ca, Vargas, Amelia1 (AUTHOR) amelialouisevargas@gmail.com |
| Source: |
International Journal of Geometric Methods in Modern Physics. Oct2026, Vol. 23 Issue 12, p1-21. 21p. |
| Subjects: |
Invariant theory, Tensor fields, Integrable systems, Geometric analysis, Euclidean geometry, Mathematical invariants, Spaces of constant curvature |
| Abstract: |
In this paper, we provide a geometric characterization of the Smorodinsky–Winternitz (SW) superintegrable potential within the framework of the invariant theory of Killing tensors in spaces of constant curvature. Specifically, we employ two-fold joint invariants of Killing two-tensors in the Euclidean plane to highlight the properties of the SW potential and to elucidate the geometric significance of its arbitrary parameters. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
