Completeness of superintegrability in two-dimensional constant-curvature spaces

Journal of Physics A: Mathematical and General

Volumn 34, Issue 22, 2001, Pages 4705-4720

  Kalnins, E G ^a   Kress, J M ^a   Pogosyan, G S ^b,d   Miller Jr , W ^c  

^a UNIVERSITY OF WAIKATO   (New Zealand)

^b INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^c UNIVERSITY OF MINNESOTA   (United States)

^d JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035827491     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/22/311     Document Type: Article

References (11)

1. Arnold V I 1978 Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics vol 60) transl K Vogtmann and A Weinstein (New York: Springer)
2. Evans N W 1990 Superintegrability in classical mechanics Phys. Rev. A 41 5666
3. Evans N W 1991 Group theory of the Smorodinsky-Winternitz system J. Math. Phys. 32 3369
4. Evans N W 1990 Super-integrability of the Winternitz system Phys. Lett. A 147 483
5. Wojciechowski S 1983 Superintegrability of the Calogero-Moser system Phys. Lett. A 95 279
6. Rañada M F 1997 Superintegrable n = 2 systems, quadratic constants of motion, and potentials of Drach J. Math. Phys. 38 4165
7. 2,C J. Phys. A.: Math. Gen. 33 4105
8. Kalnins E G, Miller W Jr and Pogosyan G S 2000 Completeness of multiseparable superintegrability on the complex 2-sphere J. Phys. A: Math. Gen. 33 6791
9. Kalnins E G, Miller W Jr and Pogosyan G S 2002 Completeness of multiseparable superintegrability in two dimensions Proc. 23rd Int. Coll. on Group Theoretical Methods in Physics (Dubna, 2000) Physics of Atomic Nuclei 65 issue 4 at press
10. Miller W Jr 1977 Symmetry and Separation of Variables (Reading, MA: Addison-Wesley)
11. Kalnins E G, Miller W Jr and Pogosyan G S 1996 Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions J. Math. Phys. 37 6439