Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Heinonen, R., Kalnins, E.G., Miller Jr., W., Subag, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147106
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems / R. Heinonen, E.G. Kalnins, W. Miller Jr., E. Subag // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 34 назв. — англ.

Two-dimensional quadratic algebras are generalizations of Lie algebras that include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical systems in classical and quantum mechanics. Distinct superintegra...