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Volumn 33, Issue 3-4, 2000, Pages 326-355

Dynamical and symmetry groups of the SU(2) Kepler problem

Author keywords

58C80; Dynamical systems; Kepler problem

Indexed keywords


EID: 0034165528     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(99)00062-5     Document Type: Article
Times cited : (3)

References (33)
  • 1
    • 84936358059 scopus 로고
    • Perturbation theory of Kepler motion based on spinor regularization
    • Kustaanheimo P., Stiefel E. Perturbation theory of Kepler motion based on spinor regularization. J. Reine Angew. Math. 218:1965;204.
    • (1965) J. Reine Angew. Math. , vol.218 , pp. 204
    • Kustaanheimo, P.1    Stiefel, E.2
  • 3
    • 0001498252 scopus 로고
    • On the regularization of the Kepler problem
    • Kummer M. On the regularization of the Kepler problem. Commun. Math. Phys. 84:1982;133.
    • (1982) Commun. Math. Phys. , vol.84 , pp. 133
    • Kummer, M.1
  • 4
    • 0001651719 scopus 로고
    • Degeneracy in the presence of a magnetic monopole
    • McIntosh H.V., Cisneros A. Degeneracy in the presence of a magnetic monopole. J. Math. Phys. 11:1970;896.
    • (1970) J. Math. Phys. , vol.11 , pp. 896
    • McIntosh, H.V.1    Cisneros, A.2
  • 5
    • 0001457709 scopus 로고
    • The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac's monopole field. Classical theory
    • Iwai T., Uwano Y. The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac's monopole field. Classical theory. J. Math. Phys. 27:1986;1523.
    • (1986) J. Math. Phys. , vol.27 , pp. 1523
    • Iwai, T.1    Uwano, Y.2
  • 6
    • 0000754303 scopus 로고
    • The geometry of the SU(2) Kepler problem
    • Iwai T. The geometry of the SU(2) Kepler problem. J. Geom. Phys. 7:1990;507.
    • (1990) J. Geom. Phys. , vol.7 , pp. 507
    • Iwai, T.1
  • 7
    • 0000941961 scopus 로고
    • 2 monopole harmonics
    • 2 monopole harmonics J. Math. Phys. 19:1978;320.
    • (1978) J. Math. Phys. , vol.19 , pp. 320
    • Yang, C.N.1
  • 8
    • 0000568337 scopus 로고
    • Sur la variété de Képler
    • Academic Press, New York, NY
    • J.M. Souriau, Sur la variété de Képler, in: Symposia Mathematica XIV, Academic Press, New York, NY, 1974.
    • (1974) in: Symposia Mathematica , vol.14
    • J.M. Souriau1
  • 11
    • 0000880226 scopus 로고
    • On the three-dimensional lunar problem and other perturbation problems of the Kepler problem
    • Kummer M. On the three-dimensional lunar problem and other perturbation problems of the Kepler problem. J. Math. Anal. Appl. 93:1983;142.
    • (1983) J. Math. Anal. Appl. , vol.93 , pp. 142
    • Kummer, M.1
  • 12
    • 0022227013 scopus 로고
    • A group theoretical approach to a certain class of perturbations of the Kepler problem
    • Kummer M. A group theoretical approach to a certain class of perturbations of the Kepler problem. Arch. Rat. Mech. Anal. 91:1985;55.
    • (1985) Arch. Rat. Mech. Anal. , vol.91 , pp. 55
    • Kummer, M.1
  • 13
    • 51249188398 scopus 로고
    • Kepler's equation, Fock variables, Bacry's generators and Dirac brackets
    • Györgyi G. Kepler's equation, Fock variables, Bacry's generators and Dirac brackets. Nuovo Cimento A. 53:1968;957.
    • (1968) Nuovo Cimento A , vol.53 , pp. 957
    • Györgyi, G.1
  • 14
    • 0002624171 scopus 로고
    • Kepler's equation, Fock variables, Bacry's generators II
    • Györgyi G. Kepler's equation, Fock variables, Bacry's generators II. Nuovo Cimento A. 62:1969;449.
    • (1969) Nuovo Cimento A , vol.62 , pp. 449
    • Györgyi, G.1
  • 15
    • 0010245196 scopus 로고
    • SO(4,2)-formulation for the symmetry breaking in relativistic Kepler problem with or without magnetic charge
    • Barut A.O., Bornzin G.L. SO(4,2)-formulation for the symmetry breaking in relativistic Kepler problem with or without magnetic charge. J. Math. Phys. 12:1971;841.
    • (1971) J. Math. Phys. , vol.12 , pp. 841
    • Barut, A.O.1    Bornzin, G.L.2
  • 16
    • 36749111599 scopus 로고
    • O(4,2) symmetry and the classical Kepler problem
    • Tripathy K.C., Gupta R., Anand J.D. O(4,2) symmetry and the classical Kepler problem. J. Math. Phys. 16:1975;1139.
    • (1975) J. Math. Phys. , vol.16 , pp. 1139
    • Tripathy, K.C.1    Gupta, R.2    Anand, J.D.3
  • 17
    • 0002535661 scopus 로고
    • Das Oszillator - Kepler Problem und die Lie-Algebra
    • Baumgarte J. Das Oszillator - Kepler Problem und die Lie-Algebra. J. Reine Angew. Math. 301:1978;59.
    • (1978) J. Reine Angew. Math. , vol.301 , pp. 59
    • Baumgarte, J.1
  • 18
    • 0002495814 scopus 로고
    • On six-dimensional canonical realizations of the SO(4,2) algebra
    • Iosifescu M., Scutaru H. On six-dimensional canonical realizations of the SO(4,2) algebra. J. Math. Phys. 21:1980;2033.
    • (1980) J. Math. Phys. , vol.21 , pp. 2033
    • Iosifescu, M.1    Scutaru, H.2
  • 20
    • 21144484451 scopus 로고
    • A dynamical group SU(2,2) and its use in the MIC-Kepler problem
    • Iwai T. A dynamical group SU(2,2) and its use in the MIC-Kepler problem. J. Phys. Math. Gen. A. 26:1993;609.
    • (1993) J. Phys. Math. Gen. A , vol.26 , pp. 609
    • Iwai, T.1
  • 21
    • 33749020105 scopus 로고
    • Kepler-type dynamical symmetries of long-range monopole interactions
    • Cordani B., Fehér L.Gy., Horváthy P.A. Kepler-type dynamical symmetries of long-range monopole interactions. J. Math. Phys. 31:1990;202.
    • (1990) J. Math. Phys. , vol.31 , pp. 202
    • Cordani, B.1    Fehér, L.Gy.2    Horváthy, P.A.3
  • 22
    • 21344491987 scopus 로고
    • Two kinds of generalized Taub-NUT metrics and the symmetry of associated dynamical systems
    • Iwai T., Katayama N. Two kinds of generalized Taub-NUT metrics and the symmetry of associated dynamical systems. J. Phys. Math. Gen. A. 27:1994;3179.
    • (1994) J. Phys. Math. Gen. A , vol.27 , pp. 3179
    • Iwai, T.1    Katayama, N.2
  • 23
    • 21344496263 scopus 로고
    • Two classes of dynamical systems all of whoses bounded trajectories are closed
    • Iwai T., Katayama N. Two classes of dynamical systems all of whoses bounded trajectories are closed. J. Math. Phys. 35:1994;2914.
    • (1994) J. Math. Phys. , vol.35 , pp. 2914
    • Iwai, T.1    Katayama, N.2
  • 24
    • 21844527368 scopus 로고
    • Multi-fold Kepler systems - Dynamical systems all of whoses bounded trajectories are closed
    • Iwai T., Katayama N. Multi-fold Kepler systems - dynamical systems all of whoses bounded trajectories are closed. J. Math. Phys. 36:1995;1790.
    • (1995) J. Math. Phys. , vol.36 , pp. 1790
    • Iwai, T.1    Katayama, N.2
  • 29
    • 0030268662 scopus 로고    scopus 로고
    • The quantized SU(2) Kepler problem and its symmetry group for negative energies
    • Iwai T., Sunako T. The quantized SU(2) Kepler problem and its symmetry group for negative energies. J. Geom. Phys. 20:1996;250.
    • (1996) J. Geom. Phys. , vol.20 , pp. 250
    • Iwai, T.1    Sunako, T.2
  • 30
    • 0002487158 scopus 로고
    • Global isomorphisms of lower dimensional Lie groups
    • Yokota I., Miyashita T. Global isomorphisms of lower dimensional Lie groups. J. Fuc. Sci. Shinshu Univ. 25:1990;60.
    • (1990) J. Fuc. Sci. Shinshu Univ. , vol.25 , pp. 60
    • Yokota, I.1    Miyashita, T.2
  • 31
    • 0033546036 scopus 로고    scopus 로고
    • SO(6,2) dynamical symmetry of the SU(2) MIC-Kepler problem
    • M.V. Pletyukhov, E.A. Tolkachev, SO(6,2) dynamical symmetry of the SU(2) MIC-Kepler problem, J. Phys. Math. Gen. A 32 (1999) L249.
    • (1999) J. Phys. Math. Gen. A , vol.32
    • M.V. Pletyukhov1    E.A. Tolkachev2
  • 32
    • 0002537088 scopus 로고
    • Conformal regularization of the Kepler problem
    • Cordani B. Conformal regularization of the Kepler problem. Commun. Math. Phys. 103:1986;403.
    • (1986) Commun. Math. Phys. , vol.103 , pp. 403
    • Cordani, B.1
  • 33
    • 0002539025 scopus 로고
    • Spinor regularization of the n-dimensional Kepler problem
    • Cordani B., Reina C. Spinor regularization of the n-dimensional Kepler problem. Lett. Math. Phys. 13:1987;79.
    • (1987) Lett. Math. Phys. , vol.13 , pp. 79
    • Cordani, B.1    Reina, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.