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Volumn 33, Issue 38, 2000, Pages 6791-6806

Completeness of multiseparable superintegrability on the complex 2-sphere

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EID: 0034730276     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/38/310     Document Type: Article
Times cited : (62)

References (28)
  • 1
    • 26744479510 scopus 로고
    • Superintegrability in classical mechanics
    • Evans N W 1990 Superintegrability in classical mechanics Phys. Rev. A 41 5666
    • (1990) Phys. Rev. A , vol.41 , pp. 5666
    • Evans, N.W.1
  • 2
    • 27844553793 scopus 로고
    • Group theory of the Smorodinsky-Winternitz system
    • Evans N W 1991 Group theory of the Smorodinsky-Winternitz system J. Math. Phys. 32 3369
    • (1991) J. Math. Phys. , vol.32 , pp. 3369
    • Evans, N.W.1
  • 3
    • 34147180880 scopus 로고
    • Super-integrability of the Winternitz system
    • Evans N W 1990 Super-integrability of the Winternitz system Phys. Lett. A 147 483
    • (1990) Phys. Lett. A , vol.147 , pp. 483
    • Evans, N.W.1
  • 4
    • 33749361816 scopus 로고
    • Superintegrability of the Calogero-Moser system
    • Wojciechowski S 1983 Superintegrability of the Calogero-Moser system Phys. Lett. A 95 279
    • (1983) Phys. Lett. A , vol.95 , pp. 279
    • Wojciechowski, S.1
  • 5
    • 36149026472 scopus 로고
    • Enumeration of potentials for which one-particle Schrödinger equations are separable
    • Eisenhart L P 1948 Enumeration of potentials for which one-particle Schrödinger equations are separable Phys. Rev. 74 87
    • (1948) Phys. Rev. , vol.74 , pp. 87
    • Eisenhart, L.P.1
  • 9
    • 5644302802 scopus 로고
    • Deformed oscillator algebras for two-dimensional quantum superintegrable systems
    • Bonatos D, Daskaloyannis C and Kokkotas K 1994 Deformed oscillator algebras for two-dimensional quantum superintegrable systems Phys. Rev. A 50 3700
    • (1994) Phys. Rev. A , vol.50 , pp. 3700
    • Bonatos, D.1    Daskaloyannis, C.2    Kokkotas, K.3
  • 10
    • 0000680872 scopus 로고
    • Solution of a three-body problem in one dimension
    • Calogero F 1969 Solution of a three-body problem in one dimension J. Math. Phys. 10 2191
    • (1969) J. Math. Phys. , vol.10 , pp. 2191
    • Calogero, F.1
  • 11
    • 36849114690 scopus 로고
    • Symmetry of the two-dimensional hydrogen atom
    • Cisneros A and McIntosh H V 1969 Symmetry of the two-dimensional hydrogen atom J. Math. Phys. 10 277
    • (1969) J. Math. Phys. , vol.10 , pp. 277
    • Cisneros, A.1    McIntosh, H.V.2
  • 12
    • 51649151435 scopus 로고
    • Elliptic basis for a circular oscillator
    • Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1985 Elliptic basis for a circular oscillator Nuovo Cimento B 88 43 Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1984 Two-dimensional hydrogen atom: I. Elliptic bases Theor. Math. Phys. 61 1021 Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1985 Hidden symmetry, separation of variables and interbasis expansions in the two-dimensional hydrogen atom J. Phys. A: Math. Gen. 18 455
    • (1985) Nuovo Cimento B , vol.88 , pp. 43
    • Mardoyan, L.G.1    Pogosyan, G.S.2    Sissakian, A.N.3    Ter-Antonyan, V.M.4
  • 13
    • 0040318605 scopus 로고
    • Two-dimensional hydrogen atom: I. Elliptic bases
    • Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1985 Elliptic basis for a circular oscillator Nuovo Cimento B 88 43 Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1984 Two-dimensional hydrogen atom: I. Elliptic bases Theor. Math. Phys. 61 1021 Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1985 Hidden symmetry, separation of variables and interbasis expansions in the two-dimensional hydrogen atom J. Phys. A: Math. Gen. 18 455
    • (1984) Theor. Math. Phys. , vol.61 , pp. 1021
    • Mardoyan, L.G.1    Pogosyan, G.S.2    Sissakian, A.N.3    Ter-Antonyan, V.M.4
  • 14
    • 0012480510 scopus 로고
    • Hidden symmetry, separation of variables and interbasis expansions in the two-dimensional hydrogen atom
    • Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1985 Elliptic basis for a circular oscillator Nuovo Cimento B 88 43 Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1984 Two-dimensional hydrogen atom: I. Elliptic bases Theor. Math. Phys. 61 1021 Mardoyan L G, Pogosyan G S, Sissakian A N and Ter-Antonyan V M 1985 Hidden symmetry, separation of variables and interbasis expansions in the two-dimensional hydrogen atom J. Phys. A: Math. Gen. 18 455
    • (1985) J. Phys. A: Math. Gen. , vol.18 , pp. 455
    • Mardoyan, L.G.1    Pogosyan, G.S.2    Sissakian, A.N.3    Ter-Antonyan, V.M.4
  • 15
    • 84957224938 scopus 로고
    • Two-dimensional analog of the hydrogen atom
    • Zaslow B and Zandler M E 1967 Two-dimensional analog of the hydrogen atom Am. J. Phys. 35 1118
    • (1967) Am. J. Phys. , vol.35 , pp. 1118
    • Zaslow, B.1    Zandler, M.E.2
  • 16
    • 0040215985 scopus 로고
    • Direct methods for the search of the second invariant
    • Hietarinta J 1987 Direct methods for the search of the second invariant Phys. Rep. 147 87-154
    • (1987) Phys. Rep. , vol.147 , pp. 87-154
    • Hietarinta, J.1
  • 18
    • 0343681644 scopus 로고
    • Superintegrable systems: Polynomial algebras and quasi-exactly solvable Hamiltonians
    • Letourneau P and Vinet L 1995 Superintegrable systems: polynomial algebras and quasi-exactly solvable Hamiltonians Ann. Phys., NY 243 144-68
    • (1995) Ann. Phys., NY , vol.243 , pp. 144-168
    • Letourneau, P.1    Vinet, L.2
  • 21
    • 0033211778 scopus 로고    scopus 로고
    • Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2
    • Rañanda M F and Santander M 1999 Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2 J. Math. Phys. 40 5026
    • (1999) J. Math. Phys. , vol.40 , pp. 5026
    • Rañanda, M.F.1    Santander, M.2
  • 22
    • 0030372538 scopus 로고    scopus 로고
    • Superintegrability and associated polynomial solutions. Euclidean space and the sphere in two dimensions
    • Kalnins E G, Miller W Jr and Pogosyan G S 1996 Superintegrability and associated polynomial solutions. Euclidean space and the sphere in two dimensions J. Math. Phys. 37 6439
    • (1996) J. Math. Phys. , vol.37 , pp. 6439
    • Kalnins, E.G.1    Miller W., Jr.2    Pogosyan, G.S.3
  • 25
    • 36749119299 scopus 로고
    • Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces
    • Boyer C P, Kalnins E G and Winternitz P 1983 Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces J. Math. Phys. 24 2022
    • (1983) J. Math. Phys. , vol.24 , pp. 2022
    • Boyer, C.P.1    Kalnins, E.G.2    Winternitz, P.3
  • 26
    • 0030559484 scopus 로고    scopus 로고
    • Path integral approach to superintegrable potentials. The two-dimensional hyperboloid
    • Grosche C, Pogosyan G S and Sissakian A N 1996 Path integral approach to superintegrable potentials. The two-dimensional hyperboloid Phys. Part. Nucl. 27 244
    • (1996) Phys. Part. Nucl. , vol.27 , pp. 244
    • Grosche, C.1    Pogosyan, G.S.2    Sissakian, A.N.3
  • 27
    • 84990719402 scopus 로고
    • Path integral discussion for Smorodinsky-Winternitz potentials: II. Two and three-dimensional sphere
    • Grosche C, Pogosyan G S and Sissakian A N 1995 Path integral discussion for Smorodinsky-Winternitz potentials: II. Two and three-dimensional sphere Fortschr. Phys. 43 523-63
    • (1995) Fortschr. Phys. , vol.43 , pp. 523-563
    • Grosche, C.1    Pogosyan, G.S.2    Sissakian, A.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.