On some properties of harmonic oscillator on spaces of constant curvature

Reports on Mathematical Physics

Volumn 49, Issue 2-3, 2002, Pages 335-343

  Rañada, Manuel F ^a   Santander, Mariano ^b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

Curvature; Hamiltonians; Integrability; Noether symmetries; Quadratic constants of motion; Superintegrable

Indexed keywords

EID: 0038448281     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(02)80031-3     Document Type: Article

References (12)

1. E. Schrödinger: Proc. R. I. A. A XLVI (1940), 9-16.
2. P. W. Higgs: J. Phys. A12 (1979), 309-323.
3. H. I. Leemon: J. Phys. A 12 (1979), 489-501.
4. T. I. Fris, V. Mandrosov, Y. A. Smorodinsky, M. Uhlir and P. Winternitz: Phys. Lett. 16 (1965), 354-356.
5. N. W. Evans: Phys. Rev. A 41 (1990), 5666-76.
6. C. Grosche, G. S. Pogosyan and A. N. Sissakian: Fortschr. Phys. 43 (1995), 453-521.
7. M. F. Rañada: J. Math. Phys. 38 (1997), 4165-4178.
8. E. McSween and P. Winternitz: J. Math. Phys. 41 (2000), 2957-2967.
9. C. Daskaloyannis: J. Math. Phys. 42 (2001), 1100-1119.
10. C. Grosche, G. S. Pogosyan and A. N. Sissakian: Fortschr. Phys. 43 (1995), 523-563.
11. M. F. Rañada, and M. Santander: J. Math. Phys. 40 (1999), 5026-5057.
12. F. J. Herranz, R. Ortega and M. Santander: J. Phys. A 33 (2000), 4525-4551.