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Volumn 102, Issue 3-4, 2001, Pages 641-700

Let's Baxterise

Author keywords

Baxterisation; Birational transformations; Discrete dynamical systems; Elliptic curves; Integrable mappings; L operator; Lattice statistical mechanics; Local quantum Lax matrices; Yang baxter equations

Indexed keywords


EID: 0035534192     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004842717830     Document Type: Article
Times cited : (22)

References (93)
  • 33
    • 0001264199 scopus 로고
    • Two dimensional ferroelectric models
    • C. Domb and M. S. Green, eds. Academic Press, New York
    • E. H. Lieb and F. Y. Wu, Two dimensional ferroelectric models, in Phase Transitions and Critical Phenomena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972), pp. 331-490.
    • (1972) Phase Transitions and Critical Phenomena , vol.1 , pp. 331-490
    • Lieb, E.H.1    Wu, F.Y.2
  • 35
    • 0003952208 scopus 로고
    • World Scientific Series in 20th Century Mathematics
    • L. D. Faddeev, 40 Years in Mathematical Physics, World Scientific Series in 20th Century Mathematics (1995), Vol. 2.
    • (1995) 40 Years in Mathematical Physics , vol.2
    • Faddeev, L.D.1
  • 37
    • 0007304582 scopus 로고
    • Über das additions-theorem der thetafunctionen mehrerer variabeln
    • F. G. Frobenius, Über das Additions-theorem der Thetafunctionen mehrerer variabeln. Journ. für die reine und angewandte Mathematik, Vol. 89 (1880), p. 185.
    • (1880) Journ. für Die Reine und Angewandte Mathematik , vol.89 , pp. 185
    • Frobenius, F.G.1
  • 38
    • 0003965731 scopus 로고
    • Collection du C.E.A. Série Scientifique Masson, Paris
    • M. Gaudin, La Fonction d'Onde de Bethe, Collection du C.E.A. Série Scientifique (Masson, Paris, 1983).
    • (1983) La Fonction d'Onde de Bethe
    • Gaudin, M.1
  • 57
    • 21344499201 scopus 로고
    • Exact solution of generalized t-J models in one dimension
    • R. Z. Bariev, Exact solution of generalized t-J models in one dimension. J. Phys. A 27:3381 (1994).
    • (1994) J. Phys. A , vol.27 , pp. 3381
    • Bariev, R.Z.1
  • 68
    • 0003805793 scopus 로고
    • Springer series in Solid State Sciences
    • M. Toda, Theory of Nonlinear Lattices, Springer series in Solid State Sciences 20 (1981).
    • (1981) Theory of Nonlinear Lattices , vol.20
    • Toda, M.1
  • 71
    • 0003186481 scopus 로고
    • Quantum spectral transform method. Recent developments
    • Lecture Notes in Physics, (Proceedings Tvärminne, Finland, 1981)
    • P. P. Kulish and E. K. Sklyanin, Quantum spectral transform method. Recent developments, in Integrable Quantum Field Theories, Lecture Notes in Physics, Vol. 51, pp. 61-119 (1982) (Proceedings Tvärminne, Finland, 1981).
    • (1982) Integrable Quantum Field Theories , vol.51 , pp. 61-119
    • Kulish, P.P.1    Sklyanin, E.K.2
  • 74
    • 0001363802 scopus 로고
    • Integrable models in (1 + 1)-dimensional quantum field theory, les houches, session XXXIX
    • J-B. Zuber and R. Stora, eds. Elsevier Science Publishers B.V.
    • L. D. Faddeev, Integrable Models in (1 + 1)-dimensional quantum field Theory, Les Houches, Session XXXIX (1982), in Recent advances in Field Theory and Statistical Mechanics, J-B. Zuber and R. Stora, eds. (Elsevier Science Publishers B.V., 1984).
    • (1982) Recent Advances in Field Theory and Statistical Mechanics
    • Faddeev, L.D.1
  • 83
    • 0007230411 scopus 로고    scopus 로고
    • V. V. Bazhanov and Y. G. Stroganov, Theor. Math. Phys. 62:253-260, 63:519-527. 63:604-611 (1985).
    • Theor. Math. Phys. , vol.63 , pp. 519-527
  • 84
    • 0007297809 scopus 로고
    • V. V. Bazhanov and Y. G. Stroganov, Theor. Math. Phys. 62:253-260, 63:519-527. 63:604-611 (1985).
    • (1985) Theor. Math. Phys. , vol.63 , pp. 604-611
  • 93
    • 0000589268 scopus 로고    scopus 로고
    • Yang baxter equations to dynamical zeta functions for birational transformations
    • Statistical Mechanics at the Ere of the 21st Century. In Honour of J. B. McGuire on the Occasion of His 65th Birthday, M. T. Batchelor and L. T. Wille, eds., World Scientific
    • N. Abarenkova, J.-C. Anglès d'Auriac, S. Boukraa, S. Hassani, and J.-M. Mailland, From Yang Baxter equations to dynamical zeta functions for birational transformations, in Statistical Mechanics at the Ere of the 21st Century. In Honour of J. B. McGuire on the Occasion of His 65th Birthday, M. T. Batchelor and L. T. Wille, eds., Series on Advances in Statistical Mechanics, Vol. 14 (World Scientific, 1999), pp. 436-490.
    • (1999) Series on Advances in Statistical Mechanics , vol.14 , pp. 436-490
    • Abarenkova, N.1    Anglès D'Auriac, J.-C.2    Boukraa, S.3    Hassani, S.4    Mailland, J.-M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.