메뉴 건너뛰기




Volumn 107, Issue 2, 1997, Pages 143-175

Three formulae for eigenfunctions of integrable Schrödinger operators

Author keywords

Bethe ansatz; Integrable models; Ruijsenaars models

Indexed keywords


EID: 0001465678     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1000138423050     Document Type: Article
Times cited : (31)

References (20)
  • 2
    • 0001089976 scopus 로고
    • Commutative rings of partial differential operators and Lie alrebras
    • Chalykh, O. and Veselov, A.: Commutative rings of partial differential operators and Lie alrebras, Commun. Math. Phys. 126 (1990), 597-611.
    • (1990) Commun. Math. Phys. , vol.126 , pp. 597-611
    • Chalykh, O.1    Veselov, A.2
  • 3
    • 34249761938 scopus 로고
    • A unified representation-theoretic approach to special functions
    • Etingof, P. and Kirillov, A. Jr.: A unified representation-theoretic approach to special functions, Funct. Anal. Appl. 28(1) (1994) 91-94.
    • (1994) Funct. Anal. Appl. , vol.28 , Issue.1 , pp. 91-94
    • Etingof, P.1    Kirillov A., Jr.2
  • 4
    • 0000843009 scopus 로고
    • Macdonald's polynomials and representations of quantum groups
    • Etingof, P. and Kirillov, A. Jr.: Macdonald's polynomials and representations of quantum groups, Math. Res. Lett. 1 (1994), 279-296.
    • (1994) Math. Res. Lett. , vol.1 , pp. 279-296
    • Etingof, P.1    Kirillov A., Jr.2
  • 5
    • 0042693857 scopus 로고    scopus 로고
    • Representation-theoretic proof of inner product and symmetry identities for Macdonald's polynomials
    • hep-th/9410169, to appear
    • Etingof, P. and Kirillov, A. Jr.: Representation-theoretic proof of inner product and symmetry identities for Macdonald's polynomials, hep-th/9410169, to appear in Comp. Math.
    • Comp. Math.
    • Etingof, P.1    Kirillov A., Jr.2
  • 6
    • 0003066753 scopus 로고
    • Algebraic integrability of Schrödinger operators and representations of Lie algebras
    • hep-th 9403135 to appear
    • Etingof, P. and Styrkas, K.: Algebraic integrability of Schrödinger operators and representations of Lie algebras, hep-th 9403135 (1994), to appear in Comp. Math.
    • (1994) Comp. Math.
    • Etingof, P.1    Styrkas, K.2
  • 7
    • 0000757885 scopus 로고
    • Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations
    • paper in preparation
    • Felder, G. and Varchenko, A.: Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations, Int. Math. Res. Notices No. 5 (1995), 221-133, and paper in preparation.
    • (1995) Int. Math. Res. Notices , vol.5 , pp. 221-1133
    • Felder, G.1    Varchenko, A.2
  • 8
    • 0000335910 scopus 로고
    • Root systems and hypergeometric functions I
    • Heckman, G. and Opdam, E.: Root systems and hypergeometric functions I, Comp. Math. 64 (1987), 329-352.
    • (1987) Comp. Math. , vol.64 , pp. 329-352
    • Heckman, G.1    Opdam, E.2
  • 11
    • 33645685301 scopus 로고
    • Yang-Baxter equation and representation theory I
    • Kulish, P., Reshetikhin, N. and Sklyanin, E.: Yang-Baxter equation and representation theory I, Lett. Math. Phys. 5 (1981), 393-403.
    • (1981) Lett. Math. Phys. , vol.5 , pp. 393-403
    • Kulish, P.1    Reshetikhin, N.2    Sklyanin, E.3
  • 12
    • 0004185719 scopus 로고
    • Publ. IRMA Strasbourg, 372/S-20, Séminaire Lotharingien
    • Macdonald, I.: A new class of symmetric functions, Publ. IRMA Strasbourg, 372/S-20, Séminaire Lotharingien (1988), 131-171.
    • (1988) A New Class of Symmetric Functions , pp. 131-171
    • Macdonald, I.1
  • 13
    • 0010956165 scopus 로고
    • The number of critical points of a product of powers of linear factors
    • Orlik, P. and Terao, H.: The number of critical points of a product of powers of linear factors, Inv. Math. 120 (1995), 1-14.
    • (1995) Inv. Math. , vol.120 , pp. 1-14
    • Orlik, P.1    Terao2    H3
  • 14
    • 0008999898 scopus 로고
    • Quasiclassical asymptotics of solutions to the KZ equations
    • S.-T. Yau (ed.), International Press
    • Reshetikhin, N. and Varchenko, A.: Quasiclassical asymptotics of solutions to the KZ equations, in 'Geometry, Topology, and Physics, for Raoul Bott', S.-T. Yau (ed.), International Press, 1995, pp. 293-322.
    • (1995) Geometry, Topology, and Physics, for Raoul Bott , pp. 293-322
    • Reshetikhin, N.1    Varchenko, A.2
  • 15
    • 0346895737 scopus 로고
    • Arrangements of hyperplanes and Lie algebra homology
    • Schechtman, V. and Varchenko, A.: Arrangements of hyperplanes and Lie algebra homology, Inv. Math. 106 (1991), 139-194.
    • (1991) Inv. Math. , vol.106 , pp. 139-194
    • Schechtman, V.1    Varchenko, A.2
  • 16
    • 24844447275 scopus 로고
    • Exact results for a quantum many-body problem in one dimension
    • Sutherland, B.: Exact results for a quantum many-body problem in one dimension, Phys. Rev. A4 (1971), 2019-2021; Phys. Rev. A5 (1972), 1372-1376.
    • (1971) Phys. Rev. , vol.A4 , pp. 2019-2021
    • Sutherland, B.1
  • 17
    • 33646946362 scopus 로고
    • Sutherland, B.: Exact results for a quantum many-body problem in one dimension, Phys. Rev. A4 (1971), 2019-2021; Phys. Rev. A5 (1972), 1372-1376.
    • (1972) Phys. Rev. , vol.A5 , pp. 1372-1376
  • 18
    • 0003328704 scopus 로고
    • Multidimensional hypergeometric functions and representation theory of quantum groups
    • World Scientific
    • Varchenko, A.: Multidimensional hypergeometric functions and representation theory of quantum groups, Advanced Series in Mathematical Physics, Vol. 21, World Scientific, 1995.
    • (1995) Advanced Series in Mathematical Physics , vol.21
    • Varchenko, A.1
  • 19
    • 0000024868 scopus 로고
    • Critical points of the product of powers of linear functions and families of bases of singular vectors
    • Varchenko, A.: Critical points of the product of powers of linear functions and families of bases of singular vectors, Comp. Math. 97 (1995), 385-401.
    • (1995) Comp. Math. , vol.97 , pp. 385-401
    • Varchenko, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.