On superintegrable symmetry-breaking potentials in N-dimensional Euclidean space

Journal of Physics A: Mathematical and General

Volumn 35, Issue 22, 2002, Pages 4755-4773

  Kalnins, E G ^a   Williams, G C ^a   Miller Jr , W ^b   Pogosyan, G S ^c,d,e  

^a UNIVERSITY OF WAIKATO   (New Zealand)

^b UNIVERSITY OF MINNESOTA   (United States)

^c INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^d JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^e YEREVAN STATE UNIVERSITY   (Armenia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037036167     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/22/308     Document Type: Article

References (18)

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2. Kalnins E G, Miller W Jr and Pogosyan G S 1999 Superintegrability in the three-dimensional Euclidean space J. Math. Phys. 40 708-25
3. 2,C J. Phys. A: Math. Gen. 33 4105-20
4. 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 6791-806
5. Friš J, Smorodinskii Ya A, Uhlír M and Winternitz P 1967 Symmetry groups in classical and quantum mechanics Sov. J. Nucl. Phys. 4 444
6. Makarov A A, Smorodinsky Ya A, Valiev Kh and Winternitz P 1967 A systematic search for nonrelativistic systems with dynamical symmetries Nuovo Cimenta A 52 1061
7. Evans N W 1990 Superintegrability in classical mechanics Phys. Rev. A 41 5666 Evans N W 1991 Group theory of the Smorodinsky-Winternitz system J. Math. Phys. 32 3369
8. Evans N W 1990 Superintegrability in classical mechanics Phys. Rev. A 41 5666 Evans N W 1991 Group theory of the Smorodinsky-Winternitz system J. Math. Phys. 32 3369
9. Miller W Jr 1977 Symmetry and Separation of Variables (Reading, MA: Addison-Wesley)
10. n and Euclidean n-space J. Math. Phys. 27 1721-36
11. Kalnins E G 1986 Separation of Variables for Riemannian Spaces of Constant Curvature (Longman)
12. Boyer C, Kalnins E and Miller W Jr 1975 Lie theory and separation of variables: 7. The harmonic oscillator in elliptic coordinates and Ince polynomials J. Math. Phys. 16 512
13. Kallies W, Lukach I, Pogosyan G S and Sissakian A N 1994 Ellipsoidal bases for harmonic oscillator Proc. Int. Workshop on Symmetry Methods in Physics in Memory of Prof. Ya A Smorodinsky vol 1 (Dubna: Publishing Department of JINR) p 206 (Preprint JINR, E2-94-230)
14. Hakobyan Ye M, Pogosyan G S and Sissakian A N 1998 On a generalized D-dimensional oscillator. Interbasis expansions Phys. At. Nucl. (Yad. Fiz.) 61 1762-7
15. Kalnins E G and Miller W Jr 1980 Killing tensors and variable separation for Hamilton-Jacobi and Helmholtz equations SIAM J. Math. Anal. 11 1011-26
16. Macfarline A J 1992 Nucl. Phys. B 386 453
17. Boyer C P, Kalnins E G and Miller W Jr 1986 Stäckel-equivalent integrable Hamiltonian systems SIAM J. Math. Anal 17 778-97
18. Kalnins E and Miller W Jr 1992 Separable coordinates, integrability and the Niven equations J. Phys. A: Math. Gen. 25 5663-75