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Volumn 155, Issue 3-4, 2001, Pages 159-183

Actions of the Neumann systems via Picard-Fuchs equations

Author keywords

Action variables; Integrable systems; Neumann system; Picard Fuchs equation

Indexed keywords


EID: 0035879406     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(01)00257-3     Document Type: Article
Times cited : (21)

References (14)
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    • V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer, New York, 1971.
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    • 80054863139 scopus 로고
    • Perturbations of the spherical pendulum and Abelian integrals
    • E. Horozov Perturbations of the spherical pendulum and Abelian integrals J. Reine Angew. Math. 408 1990 114 135
    • (1990) J. Reine Angew. Math. , vol.408 , pp. 114-135
    • Horozov, E.1
  • 4
    • 85120135511 scopus 로고    scopus 로고
    • E.L. Ince, Ordinary Differential Equations, Dover, New York, 1956.
  • 5
    • 33744774508 scopus 로고
    • Current algebra and Wess–Zumino model in two dimensions
    • V.G. Knizhnik A.B. Zamolodchikov Current algebra and Wess–Zumino model in two dimensions Nucl. Phys. B 247 1984 83 103
    • (1984) Nucl. Phys. B , vol.247 , pp. 83-103
    • Knizhnik, V.G.1    Zamolodchikov, A.B.2
  • 6
    • 0042058225 scopus 로고
    • Quasiclassical quantization of the Kovalevskaya top (in Russian)
    • I.V. Komarov V.B. Kuznetsov Quasiclassical quantization of the Kovalevskaya top (in Russian) Teoret. Mat. Fiz. 73 3 1987 335 347
    • (1987) Teoret. Mat. Fiz. , vol.73 , Issue.3 , pp. 335-347
    • Komarov, I.V.1    Kuznetsov, V.B.2
  • 7
    • 0000196544 scopus 로고
    • Various aspects of integrable Hamiltonian systems
    • J. Moser Various aspects of integrable Hamiltonian systems Prog. Math. 8 1980 233 289
    • (1980) Prog. Math. , vol.8 , pp. 233-289
    • Moser, J.1
  • 8
    • 84919913673 scopus 로고
    • De problemate quodam mechanico, quod ad primam integralium ultraellipticorum classem revocatur (Diss. Regiomonti 1856)
    • C. Neumann De problemate quodam mechanico, quod ad primam integralium ultraellipticorum classem revocatur (Diss. Regiomonti 1856) J. Reine Angew. Math. 56 1859 46 63
    • (1859) J. Reine Angew. Math. , vol.56 , pp. 46-63
    • Neumann, C.1
  • 9
    • 85120108820 scopus 로고    scopus 로고
    • S.P. Novikov, A.P. Veselov, Poisson Bracket and Complex Tori, Trudy Mathematicheskovo Instituta A.N. SSSR (Steklov Institute) [English translation in Proc. Steklov Inst. Math. 3 (1985) 53–65].
  • 11
    • 85120098651 scopus 로고    scopus 로고
    • L. Schlesinger, Handbuch der Theorie der Linearen Differentialgleichungen, Teubner, Leipzig, 1895–1898.
  • 12
    • 34250246123 scopus 로고
    • Finite-gap potentials and integrable systems on the sphere with quadratic potentials (in Russian)
    • A.P. Veselov Finite-gap potentials and integrable systems on the sphere with quadratic potentials (in Russian) Funct. Anal. Appl. 14 1 1980 48 50
    • (1980) Funct. Anal. Appl. , vol.14 , Issue.1 , pp. 48-50
    • Veselov, A.P.1
  • 14
    • 85120129786 scopus 로고    scopus 로고
    • E.T. Whittaker, G.N. Watson, A Course of Modern Analysis, Cambridge University Press, Cambridge, 1927.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.