Bôcher Contractions of Conformally Superintegrable Laplace Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Kalnins, E.G., Miller Jr., Willard, Subag, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147737
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bôcher Contractions of Conformally Superintegrable Laplace Equations / E.G. Kalnins, Willard Miller Jr., E. Subag // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 38 назв. — англ.

The explicit solvability of quantum superintegrable systems is due to symmetry, but the symmetry is often ''hidden''. The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to define quadratic algebras, a generalization of Lie algebra...