Published June 8, 2001
| Version v1
Journal article
Completeness of superintegrability in two-dimensional constant-curvature spaces
- 1. Department of Mathematics, University of Waikato, Hamilton (New Zealand)
- 2. Department of Mathematics, University of Waikato, Hamilton (NZ)
- 3. Centro de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Cuernavaca, Morelos (MX)
- 4. School of Mathematics, University of Minnesota, Minneapolis, MN (US)
Description
We classify the Hamiltonians H=px2+py2+V(x,y) of all classical superintegrable systems in two-dimensional complex Euclidean space with two additional second-order constants of the motion. We similarly classify the superintegrable Hamiltonians H=J12+J22+J32+V(x, y, z) on the complex two-sphere where x2+y2+z2=1. This is achieved in all generality using properties of the complex Euclidean group and the complex orthogonal group. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 34
- Journal Issue
- 22
- Journal Page Range
- p. 4705-4720
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 32043642
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EQUATIONS OF MOTION; GROUP THEORY; HAMILTONIANS; INTEGRAL CALCULUS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS