Superintegrable systems in Darboux spaces

Journal of Mathematical Physics

Volumn 44, Issue 12, 2003, Pages 5811-5848

  Kalnins, E G ^a   Kress, J M ^b   Miller Jr , W ^c   Winternitz, P ^d  

^a UNIVERSITY OF WAIKATO   (New Zealand)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c University of Minnesota   (United States)

^d UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344287502     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1619580     Document Type: Article

References (18)

1. E. G. Kalnins, J. M. Kress, and P. Winternitz, J. Math. Phys. 43, 970 (2002).
2. G. Koenigs, Sur les géodésiques a intégrales quadratiques. A note appearing in "Lecons sur la Théorie Générale des Surfaces" edited by G. Darboux (Chelsea, New York, 1972), Vol. 4, pp. 368-404.
3. J. Friš, V. Mandrosov, Ya. A. Smorodinsky, M. Uhlír̃, and P. Winternitz, Phys. Lett. 16, 354 (1965).
4. P. Winternitz, Ya. A. Smorodinsky, M. Uhlír̃, and I. Friš, Yad. Hz. 4, 625 (1966) [Sov. J. Nucl. Phys. 4, 444 (1966)].
5. P. Winternitz, Ya. A. Smorodinsky, M. Uhlír̃, and I. Friš, Yad. Hz. 4, 625 (1966) [Sov. J. Nucl. Phys. 4, 444 (1966)].
6. E. G. Kalnins, W. Miller, Jr., and G. S. Pogosyan, J. Phys. A 33, 4105 (2000).
7. E. G. Kalnins, W. Miller, Jr., and G. S. Pogosyan, J. Phys. A 33, 6791 (2000).
8. E. G. Kalnins, J. M. Kress, W. Miller, Jr., and G. S. Pogosyan, J. Phys. A 34, 4705 (2001).
9. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. II.
10. H. Buchholz, The Confluent Hypergeometric Function (Springer-Verlag, New York, 1969).
11. W. Miller, Jr., Symmetry and Separation of Variables (Addison-Wesley, Providence, RI, 1977).
12. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. I.
13. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press, Cambridge, 1958).
14. W. Magnus and F. Oberhettinger Formulas and Theorems for the Functions of Mathematical Physics (Chelsea, New York, 1949).
15. J. Hietarinta, B. Grammaticos, B. Dorizzi, and A. Ramani, Phys. Rev. Lett. 53, 1707 (1984).
16. C. P. Boyer, E. G. Kalnins, and W. Miller, SIAM J. Math. Anal. 17, 778 (1986).
17. S. Gravel and P. Winternitz, J. Math. Phys. 43, 5902 (2002).
18. S. Gravel, math-ph/0302028.