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SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS:: KEPLER SYSTEM.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Dec2009, Vol. 6 Issue 8, p1391-1414. 24p. - Publication Year :
- 2009
-
Abstract
- The Mishchenko–Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated in the case of globally superintegrable Hamiltonian systems which admit global generalized action-angle coordinates. The well known Kepler system falls into two different globally superintegrable systems with compact and noncompact invariant submanifolds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 6
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 47774002
- Full Text :
- https://doi.org/10.1142/S0219887809004260