Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Ragnisco, O., Ballesteros, A., Herranz, F.J., Musso, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147788
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature / O. Ragnisco, Á. Ballesteros, F.J. Herranz, F. Musso // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 42 назв. — англ.

An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hamiltonians are shown to be a consequence of a hidden non-standard quantum sl(2,R) Poisson coalgebra symmetry. As a concret...