A remark on the Tremblay-Turbiner-Winternitz potential

A remark on the Tremblay-Turbiner-Winternitz potential

We verify, using a polar representation of the vector space of Killing tensors of valence two defined in the Euclidean plane, that the Tremblay-Turbiner-Winternitz (TTW) potential, an important integrable perturbation of the Smorodinsky-Winternitz potential, loses the property of multi-separability...

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Veröffentlicht in:Journal of physics. Conference series 2024-12, Vol.2912 (1), p.12039
Hauptverfasser: Smirnov, Roman G., Vargas, Amelia
Format: Artikel
Sprache:eng
Schlagworte:
Euclidean geometry
Tensors
Vector spaces
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Zusammenfassung:We verify, using a polar representation of the vector space of Killing tensors of valence two defined in the Euclidean plane, that the Tremblay-Turbiner-Winternitz (TTW) potential, an important integrable perturbation of the Smorodinsky-Winternitz potential, loses the property of multi-separability for all but two specific values of the arbitrary parameter k .
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2912/1/012039