Superintegrable Systems and Recursion Operators

Superintegrable Systems and Recursion Operators

Geometric structures underlying noncommutative integrable (superintegrable) dynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant (1,1) tensor field. The construction of compatible symplecti...

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Veröffentlicht in:Modern physics letters A 2003-11, Vol.18 (33n35), p.2501-2507
1. Verfasser: Sparano, Giovanni
Format: Artikel
Sprache:eng
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Zusammenfassung:Geometric structures underlying noncommutative integrable (superintegrable) dynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant (1,1) tensor field. The construction of compatible symplectic structures is also discussed.
ISSN:0217-7323
1793-6632
DOI:10.1142/S021773230301274X