Theoretical and Mathematical Physics

, Volume 57, Issue 2, pp 1059–1073 | Cite as

Local Hamiltonians for integrable quantum models on a lattice

  • V. O. Tarasov
  • L. A. Takhtadzhyan
  • L. D. Faddeev
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Literature Cited

  1. 1.
    E. K. Sklyanin and L. D. Faddeev, Dokl. Akad. Nauk SSSR,243, 1430 (1978).Google Scholar
  2. 2.
    E. K. Sklyanin, L. A. Takhtadzhyan, and L. D. Faddeev, Teor. Mat. Fiz.,40, 194 (1979).Google Scholar
  3. 3.
    E. K. Sklyanin, Zap. Nauch. Semin. LOMI,95, 55 (1980).Google Scholar
  4. 4.
    L. A. Takhtadzhyan and L. D. Faddeev, Usp. Mat. Nauk,34, 13 (1979).Google Scholar
  5. 5.
    L. D. Faddeev, “Quantum completely integrable field theory models,” Preprint R-2-79 [in Russian], Leningrad Branch, V. A. Steklov Mathematic Institute (1979).Google Scholar
  6. 6.
    A. G. Izergin and V. E. Korepin, Fiz. Elem. Chastits At. Yadra,13, 501 (1982).Google Scholar
  7. 7.
    P. P. Kulish and E. K. Sklyanin, Lect. Notes in Phys.,151, 61 (1982).Google Scholar
  8. 8.
    L. Faddeev, “Integrable models in 1+1 dimensional quantum field theory,” Preprint S.Ph. T/82/76, Saclay (1982).Google Scholar
  9. 9.
    L. A. Takhtadzhyan and L. D. Faddeev, Zap. Nauch. Semin. LOMI,109, 134 (1981).Google Scholar
  10. 10.
    A. G. Izergin and V. E. Korepin, Dokl. Akad. Nauk SSSR,259, 76 (1981).Google Scholar
  11. 11.
    A. G. Izergin and V. E. Korepin, Lett. Math. Phys.,5, 199 (1981); A. G. Izergin and V. E. Korepin, Vestn. Leningr. Univ., No. 22, 84 (1981).Google Scholar
  12. 12.
    A. G. Izergin and V. E. Korepin, Nucl. Phys. B,205, 401 (1982); A. G. Izergin and V. E. Korepin, Zap. Nauch. Semin. LOMI,120, 75 (1982).Google Scholar
  13. 13.
    V. O. Tarasov, Zap. Nauch. Semin. LOMI,120, 173 (1982).Google Scholar
  14. 14.
    A. G. Izergin, V. E. Korepin, and F. A. Smirnov, Teor. Mat.Fiz.,48, 319 (1981).Google Scholar
  15. 15.
    E. K. Sklyanin, Funktsional. Analiz i Ego Prilozhen.,16, 27 (1982).Google Scholar
  16. 16.
    P. P. Kulish, N. Yu. Reshetikhin, and E. K. Sklyanin, Lett. Math. Phys.,5, 393 (1981).Google Scholar
  17. 17.
    P. P. Kulish, “Problems of statistical mechanics,” Preprint D17-81-758 [in Russian], JINR, Dubna (1981), pp. 147–158.Google Scholar
  18. 18.
    M. Lüscher, Nucl. Phys. B,117, 475 (1976).Google Scholar
  19. 19.
    V. E. Korepin, Dokl. Akad. Nauk SSSR,265, 1361 (1982).Google Scholar
  20. 20.
    T. Holstein and H. Primakoff, Phys. Rev.,58, 1098 (1940).Google Scholar
  21. 21.
    V. E. Zakharov and L. A. Takhtadzhyan, Teor. Mat. Fiz.,38, 26 (1979).Google Scholar
  22. 22.
    P. P. Kulish and N. Yu. Reshetikhin, Zap. Nauch. Semin. LOMI,101, 101 (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • V. O. Tarasov
  • L. A. Takhtadzhyan
  • L. D. Faddeev

There are no affiliations available

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