Completeness of superintegrability in two dimensional constant curvature spaces

Kalnins, E.G.
Kress, J.M.
Pogosyan, G.
Miller, Jr., W.
2000-12
Thumbnail Image

Persistent link to this item

https://hdl.handle.net/11299/3510
Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Completeness of superintegrability in two dimensional constant curvature spaces

Authors

Published Date

2000-12

Publisher

Type

Abstract

We classify the Hamiltonians H=px2+ py2 +V(x,y) of all classical superintegrable systems in two dimensional complex Euclidean space with second-order constants of the motion. We similarly classify the superintegrable Hamiltonians H=J12+J22+ J32+V(x,y,z) on the complex 2-sphere where x2+y2+z2=1. This is achieved in all generality using properties of the complex Euclidean group and the complex orthogonal group.

Keywords

Description

Related to

Institute for Mathematics and Its Applications>IMA Preprints Series

Replaces

License

Collections

IMA Preprints Series

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Suggested citation

Kalnins, E.G.; Kress, J.M.; Pogosyan, G.; Miller, Jr., W.. (2000). Completeness of superintegrability in two dimensional constant curvature spaces. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3510.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.