Second order superintegrable systems in conformally flat spaces. II. the classical two-dimensional Stäckel transform

Journal of Mathematical Physics

Volumn 46, Issue 5, 2005, Pages

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

^a UNIVERSITY OF WAIKATO   (New Zealand)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18844424381     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1894985     Document Type: Article

References (18)

1. E. G. Kalnins, J. M. Kress, and W. Miller, Jr., J. Math. Phys. 46, 053509 (2005).
2. N. W. Evans, Phys. Rev. A 41, 5666 (1990)
3. N. W. Evans, J. Math. Phys. 32, 3369 (1991).
4. N. W. Evans, Phys. Lett. A 147, 483 (1990).
5. S. Wojciechowski, Phys. Lett. 95, 279 (1983).
6. J. Friš, Ya. A. Smorodinskii, M. Uhlír, and P. Winternitz, Sov. J. Nucl. Phys. 4, 444 (1967).
7. A. A. Makarov, Ya. A. Smorodinsky, Kh. Valiev, and P. Winternitz, Nuovo Cimento A 52, 1061 (1967).
8. F. Calogero, J. Math. Phys. 10, 2191 (1969).
9. P. Letourneau and L. Vinet, Ann. Phys. (N.Y.) 243, 144-168 (1995).
10. M. F. Rañada, J. Math. Phys. 38, 4165 (1997).
11. C. P. Boyer, E. G. Kalnins, and W. Miller, SIAM J. Math. Anal. 17, 778 (1986).
12. J. Hietarinta, B. Grammaticos, B. Dorizzi, and A. Ramani, Phys. Rev. Lett. 53, 1707 (1984).
13. E. G. Kalnins, J. M. Kress, W. Miller, Jr., and P. Winternitz, J. Math. Phys. 44, 5811 (2003).
14. E. G. Kalnins, W. Miller, Jr., and G. S. Pogosyan, J. Phys. A 33, 4105 (2000).
15. G. Darboux, " Sur les ǵod́siques a int́grales quadratiques., " A note appearing in Lecons sur la th́orie ǵńrale des surfaces, (Chelsea Publishing, New York, 1972), Vol. 4, pp. 368-404.
16. E. G. Kalnins, W. Miller, Jr., and G. S. Pogosyan, J. Phys. A 33, 6791 (2000).
17. E. G. Kalnins, J. M. Kress, W. Miller, Jr., and G. S. Pogosyan, J. Phys. A 34, 4705 (2001).
18. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed. (Cambridge University Press, Cambridge, 1958).