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Cited by 55Mathematical functions and polynomialsAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons

Algebraization of difference eigenvalue equations related to U(sl2)

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Wiegmann, P.B., Zabrodin, A.X.·1995·Nuclear Physics B
DOI 10.1016/0550-3213(95)00361-u
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Research works printed but not linked: 14

  1. [7][7] V.G.Bagrov and A. S. Vshivtsev, Tomsk preprint No 31 (1986) (unpublished) -
  2. [9][9] A. Ushveridze, Sov.Journal Part.Nucl. 20 , 185 (1989), ibid 23 , 25 (1992) -
  3. [10][10] A. Turbiner, Lie algebras and quasi-exactly solvable differential equations Preprint IFUNAM FT 94-57 (1994) -
  4. [11][11] M. A. Shifman, Int.Journal of Mod.Phys.A 4 2897 (1989) -
  5. [13][13] O. V. Ogievetsky and A.V.Turbiner, Preprint CERN-TH :6212/91 (1991) -
  6. [14][14] L. D. Faddeev and R. M. Kashaev, University of Helsinki preprint HUTFT-93-63 (1993) -
  7. [23][23] G. Gasper and M. Rahman, Basic Hypergeometric Series , Cambridge Univ.Press (1990) -
  8. [24][24] L.D.Faddeev, The Bethe Ansatz , Andrejewski lectures, preprint SFB 288, No 70 (1993) -
  9. [27][27] M. Noumi and K. Mimachi Proc. Japan Acad. Ser. A 66 146 (1990) -
  10. [34][34] A. Erdelyi, et al. Higher Transcendental Functions Vol.3 Mc Graw-Hill NY (1953) -
  11. [36][36] S. N. M. Ruijsenaars, Finite-dimensional soliton systems In.:Integrable and superintegrable systems, B. Kupershmidt (ed.) 165-206 Singapore: World Scientific (1990); S. N. M. Ruijsenaars, Commun. Math. Phys. 110 191 (1987) -
  12. [38][38] I.Macdonald in 'Orthogonal Polynomials: Theory and Practice', ed. P.Nevai (Kluwer Academic, Dordrecht) (1990); Queen Mary College preprint (1989) -
  13. [40][40] E.Vaysleb, Infinite-dimensional *-representations of Sklyanin algebra and the quantum algebra U q ( sl (2)) UCLA preprint (1992) -
  14. [43][43] T. Curtright and C. Zachos, Phys. Lett. B 243 237 (1990); C. Zachos, Proceedings of the conference on deformation theory of algebras and quantization with applications to physics, Contemporary Mathematics , J. Stasheff and M. Gerstenhaber (eds.) (1991)

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Authors
Wiegmann, P. B., & Zabrodin, A. X.
Affiliations
  • Landau Institute for Theoretical Physics (RU)
  • Institute for Theoretical and Experimental Physics (RU)
Corresponding author
  • Wiegmann, P.B.
  • Zabrodin, A.X.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1995-10
Volume
451
Issue
3
Pages
699-724
ISSN
0550-3213 (ISSN-L)
DOI
10.1016/0550-3213(95)00361-u
OpenAlex
W2024829302
Cited by
55
References
32
Citations by year
2023: 1 · 2022: 1 · 2021: 1 · 2020: 2 · 2019: 4 · 2018: 1 · 2017: 2 · 2016: 1 · 2014: 2 · 2013: 1 · 2012: 3
FWCI
6.01
Type
journal article
Language
en
Open access
Licence
Locations
  • Nuclear Physics B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical functions and polynomials
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Waves and Solitons
Keywords
second-order difference operators, quantum sl2, Uq(sl2), Bethe ansatz equations, Askey-Wilson polynomials, spectral theory

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