Tools for Verifying Classical and Quantum Superintegrability

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Kalnins, E.G., Kress, J.M., Willard Miller, Jr.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146503
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tools for Verifying Classical and Quantum Superintegrability / E.G. Kalnins, J.M. Kress, Jr. Willard Miller // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 24 назв. — англ.

Recently many new classes of integrable systems in n dimensions occurring in classical and quantum mechanics have been shown to admit a functionally independent set of 2n−1 symmetries polynomial in the canonical momenta, so that they are in fact superintegrable. These newly discovered systems are al...