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Volumn 9, Issue 3, 1998, Pages 359-365

Quantum integrability for the Kovalevsky top

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Indexed keywords


EID: 0032560919     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(98)80005-0     Document Type: Article
Times cited : (5)

References (22)
  • 1
    • 0003319234 scopus 로고
    • Mathematical methods of classical mechanics
    • Springer Verlag, New York
    • [A] Arnold, V.I. - Mathematical methods of classical mechanics. Graduate Texts in Mathematics 60. Springer Verlag, New York (1980).
    • (1980) Graduate Texts in Mathematics , vol.60
    • Arnold, V.I.1
  • 3
    • 0003784355 scopus 로고    scopus 로고
    • Cambridge Studies Adv. Math
    • [Au] Audin, J.M. - Spinning Tops. Cambridge Studies Adv. Math. 51 (1996).
    • (1996) Spinning Tops , vol.51
    • Audin, J.M.1
  • 4
    • 0001107533 scopus 로고
    • The kowalewski top 99 years later: A Lax pair, generalizations and explicit solutions
    • [BRS] Bobenko, A.I., A.G. Reyman and M.A. Semenov-Tian-Shansky - The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions. Commun. Math. Phys. 122, 321-354 (1989).
    • (1989) Commun. Math. Phys. , vol.122 , pp. 321-354
    • Bobenko, A.I.1    Reyman, A.G.2    Semenov-Tian-Shansky, M.A.3
  • 5
    • 0000695975 scopus 로고
    • Über die Konstruktion einer zu den irreduzibelen Darstellungen halbeinfacher kontinuilicher Gruppen gehörigen Differentialgleichung
    • [C] Casimir, H. - Über die Konstruktion einer zu den irreduzibelen Darstellungen halbeinfacher kontinuilicher Gruppen gehörigen Differentialgleichung. Nederl. Akad. Wetensch. Proc. Series A, 34, 844-846 (1931).
    • (1931) Nederl. Akad. Wetensch. Proc. Series A , vol.34 , pp. 844-846
    • Casimir, H.1
  • 7
    • 84963950040 scopus 로고
    • Differential-difference operators associated to reflection groups
    • [D] Dunkl, C.F. - Differential-difference operators associated to reflection groups. Trans. AMS 311, 167-183 (1989).
    • (1989) Trans. AMS , vol.311 , pp. 167-183
    • Dunkl, C.F.1
  • 9
    • 0010137326 scopus 로고
    • Classical and quantum mechanical systems of Toda lattice type, Part I
    • [GW] Goodman, R. and N. Wallach - Classical and quantum mechanical systems of Toda lattice type, Part I. Commun. Math. Phys. 83, 355-386 (1982).
    • (1982) Commun. Math. Phys. , vol.83 , pp. 355-386
    • Goodman, R.1    Wallach, N.2
  • 11
    • 0000648317 scopus 로고
    • A remark on the Dunkl differential-difference operators. Harmonic Analysis on Reductive groups
    • Proceedings, Bowdoin College 1989. Birkhäuser
    • [H] Heckman, G.J. - A remark on the Dunkl differential-difference operators. Harmonic Analysis on Reductive groups. Proceedings, Bowdoin College 1989. Progr. Math. 101. Birkhäuser, 181-191 (1991).
    • (1991) Progr. Math. , vol.101 , pp. 181-191
    • Heckman, G.J.1
  • 12
    • 0003239017 scopus 로고
    • Harmonic Analysis and Special Functions on Symmetric Spaces
    • Acad. Press, London
    • [HS] Heckman, G.J. and H. Schlichtkrull - Harmonic Analysis and Special Functions on Symmetric Spaces. Persp. in Math. 16, Acad. Press, London (1995).
    • (1995) Persp. in Math. , vol.16
    • Heckman, G.J.1    Schlichtkrull, H.2
  • 13
    • 34250579023 scopus 로고
    • Sur le problème de la rotation d'un corps solide autour d'un point fixe
    • [K] Kovalevsky, S. - Sur le problème de la rotation d'un corps solide autour d'un point fixe. Acta Math. 12, 177-232 (1889).
    • (1889) Acta Math. , vol.12 , pp. 177-232
    • Kovalevsky, S.1
  • 14
    • 34347230069 scopus 로고
    • Three integrable hamiltonian systems connected with isospectral deformation
    • [M] Moser, J. - Three integrable hamiltonian systems connected with isospectral deformation. Adv. Math. 16, 197-220 (1975).
    • (1975) Adv. Math. , vol.16 , pp. 197-220
    • Moser, J.1
  • 15
    • 0002764742 scopus 로고
    • Commuting families of symmetric differential operators
    • Ser. A
    • [OOS] Ochiai. H., T. Oshima and H. Sekiguchi - Commuting families of symmetric differential operators. Proc. Japan Academy, Vol. 70, Ser. A, No 2, 62-66 (1994).
    • (1994) Proc. Japan Academy , vol.70 , Issue.2 , pp. 62-66
    • Ochiai, H.1    Oshima, T.2    Sekiguchi, H.3
  • 16
    • 0002587995 scopus 로고
    • Completely integrable hamiltonian systems connected with semisimple Lie algebras
    • [OP] Olshanetsky, M.A. and A.M. Perelomov - Completely integrable hamiltonian systems connected with semisimple Lie algebras. Invent. Math. 37, 93-108 (1976).
    • (1976) Invent. Math. , vol.37 , pp. 93-108
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 17
    • 0003166183 scopus 로고
    • Root systems and hypergeometric functions IV
    • [O1] Opdam, E.M. - Root systems and hypergeometric functions IV. Comp. Math. 67, 191-209 (1988).
    • (1988) Comp. Math. , vol.67 , pp. 191-209
    • Opdam, E.M.1
  • 18
    • 0002949136 scopus 로고
    • Harmonic analysis for certain representations of graded Hecke algebras
    • [O2] Opdam, E.M. - Harmonic analysis for certain representations of graded Hecke algebras. Acta Math. 175, 75-121 (1995).
    • (1995) Acta Math. , vol.175 , pp. 75-121
    • Opdam, E.M.1
  • 21
    • 84963043327 scopus 로고
    • The quantum C. Neumann problem
    • [T1] Toth, J.A. - The quantum C. Neumann problem. Intern. Math. Res. Notes 5, 137-139 (1993).
    • (1993) Intern. Math. Res. Notes , vol.5 , pp. 137-139
    • Toth, J.A.1
  • 22
    • 0003156534 scopus 로고
    • Various quantum mechanical aspects of quadratic forms
    • [T2] Toth, J.A. - Various quantum mechanical aspects of quadratic forms. J. of Funct. Anal. 130, 1-42 (1995).
    • (1995) J. of Funct. Anal. , vol.130 , pp. 1-42
    • Toth, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.