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Volumn 38, Issue 5, 1997, Pages 2345-2365

Integrability, Stäckel spaces, and rational potentials

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Indexed keywords


EID: 0031492685     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531977     Document Type: Article
Times cited : (17)

References (20)
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    • Neumann, C.1
  • 3
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    • Various aspects of integrable Hamiltonian systems
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    • Moser, J.1
  • 5
    • 0001012535 scopus 로고
    • Separation of variables on n-dimensional Riemannian manifolds I. the n-sphere and Euclidean n-space
    • E. G. Kalnins and W. Miller, Jr., "Separation of variables on n-dimensional Riemannian manifolds I. The n-sphere and Euclidean n-space," J. Math. Phys. 27, 1721-1736 (1986).
    • (1986) J. Math. Phys. , vol.27 , pp. 1721-1736
    • Kalnins, E.G.1    Miller W., Jr.2
  • 6
    • 0003304757 scopus 로고
    • Separation of Variables for Riemannian Spaces of Constant Curvature
    • Longman Scientific and Technical, Essex, England
    • E. G. Kalnins, "Separation of Variables for Riemannian Spaces of Constant Curvature," in Pitman Monographs and Surveys in Pure and Applied Mathematics, No. 28 (Longman Scientific and Technical, Essex, England, 1986).
    • (1986) Pitman Monographs and Surveys in Pure and Applied Mathematics , Issue.28
    • Kalnins, E.G.1
  • 7
    • 0002255935 scopus 로고
    • Stäckel-equivalent integrable Hamiltonian systems
    • C. P. Boyer, E. G. Kalnins, and W. Miller, Jr., "Stäckel-equivalent integrable Hamiltonian systems," SIAM J. Math. Anal 17, 778-797 (1986).
    • (1986) SIAM J. Math. Anal , vol.17 , pp. 778-797
    • Boyer, C.P.1    Kalnins, E.G.2    Miller W., Jr.3
  • 9
    • 0001033506 scopus 로고
    • Separable systems of Stäckel
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    • (1934) Ann Math. , vol.35 , pp. 284-305
    • Eisenhart, L.P.1
  • 10
    • 0000742846 scopus 로고
    • Killing tensors and variable separation for Hamilton-Jacobi and Helmholtz equations
    • E. G. Kalnins and W. Miller, Jr., "Killing tensors and variable separation for Hamilton-Jacobi and Helmholtz equations," SIAM J. Math. Anal. 11, 1011-1026 (1980).
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 1011-1026
    • Kalnins, E.G.1    Miller W., Jr.2
  • 13
    • 0000939046 scopus 로고
    • Killing tensors and nonorthogonal variable separation for the Hamilton-Jacobi equation
    • E. G. Kalnins and W. Miller, Jr., "Killing tensors and nonorthogonal variable separation for the Hamilton-Jacobi equation," SIAM J. Math. Anal. 12, 617-638 (1981).
    • (1981) SIAM J. Math. Anal. , vol.12 , pp. 617-638
    • Kalnins, E.G.1    Miller W., Jr.2
  • 14
    • 0007305638 scopus 로고
    • The general theory of R-separation for Helmholtz equations
    • E. G. Kalnins and W. Miller, "The general theory of R-separation for Helmholtz equations," J. Math. Phys. 24, 1047-1053 (1983).
    • (1983) J. Math. Phys. , vol.24 , pp. 1047-1053
    • Kalnins, E.G.1    Miller, W.2
  • 15
    • 0346566153 scopus 로고
    • The theory of orthogonal R-separation for Helmholtz equations
    • E. G. Kalnins and W. Miller, Jr., "The theory of orthogonal R-separation for Helmholtz equations," Adv. Math. 51, 91-106 (1984).
    • (1984) Adv. Math. , vol.51 , pp. 91-106
    • Kalnins, E.G.1    Miller W., Jr.2
  • 16
    • 0000314759 scopus 로고
    • Orthogonal Separable Dynamical Systems
    • Proceedings of the 5th International Conference on Differential Geometry and its Applications, 1992, edited by O. Kowalski and D. Krupka, Silesian University at Opava, Opava
    • S. Benenti, "Orthogonal Separable Dynamical Systems," in Proceedings of the 5th International Conference on Differential Geometry and its Applications, 1992, edited by O. Kowalski and D. Krupka, Mathematical Publications Vol. 1 (Silesian University at Opava, Opava, 1993).
    • (1993) Mathematical Publications , vol.1
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  • 17
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    • Geometry of quadrics and spectral theory
    • edited by W.-Y. Hsiang et al. Springer, New York
    • J. Moser, Geometry of quadrics and spectral theory, The Chern Symposium 1979, edited by W.-Y. Hsiang et al. (Springer, New York, 1980).
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  • 19
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    • Integrable one particle potentials related to the Neumann system and the Jacobi problem of geodesic motion on an ellipsoid
    • S. Wojciechowski, "Integrable one particle potentials related to the Neumann system and the Jacobi problem of geodesic motion on an ellipsoid," Phys. Lett. A 107, 106 (1985).
    • (1985) Phys. Lett. A , vol.107 , pp. 106
    • Wojciechowski, S.1
  • 20
    • 51249179189 scopus 로고
    • A one particle potential integrable on a family of quadrics
    • S. Wojciechowski, "A one particle potential integrable on a family of quadrics," Lett. Math. Phys. 9, 221 (1985).
    • (1985) Lett. Math. Phys. , vol.9 , pp. 221
    • Wojciechowski, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.