메뉴 건너뛰기




Volumn 2004, Issue , 2004, Pages 1-30

The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution

Author keywords

Algebraic solution; Calogero Moser Sutherland system; Heun equation; Heun function; Inozemtsev model; Kato Rellich theory; Perturbation; Trigonometric limit

Indexed keywords


EID: 3042645378     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (18)
  • 1
    • 0035963341 scopus 로고    scopus 로고
    • Exact solutions of a new elliptic Calogero-Sutherland model
    • Gomez-Ullate, D.; Gonzalez-Lopez, A.; Rodriguez, M. A. Exact solutions of a new elliptic Calogero-Sutherland model, Phys. Lett. B511 112-118 (2001).
    • (2001) Phys. Lett. , vol.B511 , pp. 112-118
    • Gomez-Ullate, D.1    Gonzalez-Lopez, A.2    Rodriguez, M.A.3
  • 2
    • 0002551227 scopus 로고
    • Quasi-exact solvability
    • Amer. Math. Soc., Providence
    • Gonzalez-Lopez, Artemio; Kamran, Niky; Olver, Peter J.: Quasi-exact solvability. Contemp. Math., 160 113-140, Amer. Math. Soc., Providence (1994).
    • (1994) Contemp. Math. , vol.160 , pp. 113-140
    • Gonzalez-Lopez, A.1    Kamran, N.2    Olver, P.J.3
  • 3
    • 0001842633 scopus 로고
    • Lax representation with spectral parameter on a torus for integrable particle systems
    • Inozemtsev, V. I.: Lax representation with spectral parameter on a torus for integrable particle systems, Lett. Math. Phys. 17 11-17 (1989).
    • (1989) Lett. Math. Phys. , vol.17 , pp. 11-17
    • Inozemtsev, V.I.1
  • 5
    • 0036014158 scopus 로고    scopus 로고
    • The perturbation of the quantum Calogero-Moser-Sutherland system and related results
    • Komori, Yasushi; Takemura, Kouichi: The perturbation of the quantum Calogero-Moser-Sutherland system and related results, Comm. Math. Phys. 227 93-118 (2002).
    • (2002) Comm. Math. Phys. , vol.227 , pp. 93-118
    • Komori, Y.1    Takemura, K.2
  • 6
    • 0002764742 scopus 로고
    • Commuting families of symmetric differential operators
    • Ochiai, Hiroyuki; Oshima, Toshio; Sekiguchi, Hideko: Commuting families of symmetric differential operators, Proc. Japan. Acad. 70 62-66 (1994).
    • (1994) Proc. Japan. Acad. , vol.70 , pp. 62-66
    • Ochiai, H.1    Oshima, T.2    Sekiguchi, H.3
  • 7
    • 0007456353 scopus 로고
    • Quantum integrable systems related to Lie algebras
    • Olshanetsky, M. A.; Perelomov, A. M.: Quantum integrable systems related to Lie algebras. Phys. Rep. 94 313-404 (1983).
    • (1983) Phys. Rep. , vol.94 , pp. 313-404
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 8
    • 0001867540 scopus 로고
    • Commuting families of differential operators invariant under the action of a Weyl group
    • Oshima, Toshio; Sekiguchi, Hideko: Commuting families of differential operators invariant under the action of a Weyl group, J. Math. Sci. Univ. Tokyo, 2 1-75 (1995).
    • (1995) J. Math. Sci. Univ. Tokyo , vol.2 , pp. 1-75
    • Oshima, T.1    Sekiguchi, H.2
  • 9
    • 0003926049 scopus 로고
    • Oxford Science Publications, Oxford University Press, Oxford
    • Ronveaux, A.(ed.): Heun's differential equations. Oxford Science Publications, Oxford University Press, Oxford (1995).
    • (1995) Heun's Differential Equations
    • Ronveaux, A.1
  • 10
    • 0039234395 scopus 로고    scopus 로고
    • Oxford Science Publications, Oxford University Press, Oxford
    • Slavyanov, S.; Lay, W.: Special Functions. Oxford Science Publications, Oxford University Press, Oxford (2000).
    • (2000) Special Functions
    • Slavyanov, S.1    Lay, W.2
  • 11
    • 2442652284 scopus 로고    scopus 로고
    • Elliptic solitons and Heun's equation
    • The Kowalevski property, Amer. Math. Soc., Providence
    • Smirnov, A. O.: Elliptic solitons and Heun's equation, The Kowalevski property, 287-305, CRM Proc. Lecture Notes, 32, Amer. Math. Soc., Providence (2002).
    • (2002) CRM Proc. Lecture Notes , vol.32 , pp. 287-305
    • Smirnov, A.O.1
  • 12
    • 0013297919 scopus 로고    scopus 로고
    • On the eigenstates of the elliptic Calogero-Moser model
    • Takemura, Kouichi: On the eigenstates of the elliptic Calogero-Moser model, Lett. Math. Phys., 53 no. 3, 181-194 (2000).
    • (2000) Lett. Math. Phys. , vol.53 , Issue.3 , pp. 181-194
    • Takemura, K.1
  • 13
    • 0038270753 scopus 로고    scopus 로고
    • The Heun equation and the Calogero-Moser-Sutherland system I: The Bethe Ansatz method
    • Takemura, Kouichi: The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method. Comm. Math. Phys. 235 467-494 (2003).
    • (2003) Comm. Math. Phys. , vol.235 , pp. 467-494
    • Takemura, K.1
  • 14
    • 2442671758 scopus 로고    scopus 로고
    • The Heun equation and the Calogero-Moser-Sutherland system III: The finite gap property and the monodromy
    • Takemura, Kouichi: The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy. J. Nonlinear Math. Phys. 11 21-46 (2004).
    • (2004) J. Nonlinear Math. Phys. , vol.11 , pp. 21-46
    • Takemura, K.1
  • 15
    • 0037131116 scopus 로고    scopus 로고
    • Quasi-exact solvability of Inozemtsev models
    • Takemura, Kouichi: Quasi-exact solvability of Inozemtsev models, J. Phys. A 35 8867-8881 (2002).
    • (2002) J. Phys. A , vol.35 , pp. 8867-8881
    • Takemura, K.1
  • 16
    • 84974000969 scopus 로고
    • Revetements exceptionnels et sommes de 4 nombres triangulaires
    • Treibich, Armando; Verdier, Jean-Louis: Revetements exceptionnels et sommes de 4 nombres triangulaires. Duke Math. J. 68 217-236 (1992).
    • (1992) Duke Math. J. , vol.68 , pp. 217-236
    • Treibich, A.1    Verdier, J.-L.2
  • 17
    • 0009491906 scopus 로고
    • Quasi-exactly-solvable problems and sl(2) algebra
    • Turbiner, A. V.: Quasi-exactly-solvable problems and sl(2) algebra. Comm. Math. Phys. 118 467-474 (1988).
    • (1988) Comm. Math. Phys. , vol.118 , pp. 467-474
    • Turbiner, A.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.