Communications in Mathematical Physics

, Volume 79, Issue 3, pp 303–316 | Cite as

The inverse scattering method approach to the quantum Shabat-Mikhailov model

  • A. G. Izergin
  • V. E. Korepin


The Shabat-Mikhailov model is treated in the framework of the quantum inverse scattering method. The Baxter'sR-matrix for the model is calculated.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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  1. 1.
    Dodd, R. K., Bullough, R. K.: Proc. R. Soc. Lond.A352, 481 (1977)Google Scholar
  2. 2.
    Zhiber, A. V., Shabat, A. B.: Dokl. Akad. Nauk SSSR247, 1103 (1979)Google Scholar
  3. 3.
    Mikhailov, A. V.: Pis'ma Zh. Eksp. Teor. Fiz.30, 443 (1979); preprint ITEF-44. Moscow (1980)Google Scholar
  4. 4.
    Arinshtein, A. E., Fateyev, V. A., Zamolodchikov, A. B.: Phys. Lett.87B, 389 (1979)Google Scholar
  5. 5.
    Faddeev, L. D.: LOMI-preprint P-2-79. Leningrad (1979)Google Scholar
  6. 6.
    Gardner, C. S., Green, J. M., Kruskal, M. D., Miura, R. M.: Phys. Rev. Lett.19, 1095–1097 (1967)Google Scholar
  7. 7.
    Faddeev, L. D., Sklyanin, E. K., Takhtadjan, L. A.: Teor. Mat. Fiz.40, 194 (1979)Google Scholar
  8. 8.
    Faddeev, L. D., Zakharov, V. E.: Funk. Anal. Jego Prilozh.5, 18 (1971)Google Scholar
  9. 9.
    Sklyanin, E. K.: LOMI-preprint E-3-1979. Leningrad (1979)Google Scholar
  10. 10.
    Yang, C. N.: Phys. Rev. Lett.19, 1312–1315 (1967)Google Scholar
  11. 11.
    Baxter, R. J.: Ann. Phys. (N Y).70, 193–228 (1972);70, 323–327 (1972);76, 25–47 (1973);76, 48–71 (1973)Google Scholar
  12. 12.
    Zamolodchikov, A. B.: Commun. Math. Phys.55, 183 (1977)Google Scholar
  13. 13.
    Karowski, M., Thun, H. J., Truong, T. T., Weisz, P. H.: Phys. Lett.67B, 321–322 (1977)Google Scholar
  14. 14.
    Faddeev, L. D., Takhtadjan, L. A.: Usp. Mat. Nauk.34, 13–63 (1979)Google Scholar
  15. 15.
    Izergin, A. G., Korepin, V. E.: LOMI-preprint E-3-80. Leningrad (1980)Google Scholar
  16. 16.
    Sutherland, B.: J. Math. Phys. (NY), 3183–3186 (1970)Google Scholar
  17. 17.
    Zamolodchikov, A. B.: Pis'ma Zh. Exp. Teor. Fiz.25, 499–502 (1977)Google Scholar
  18. 18.
    Cherednik, I. V. Dokl. Akad. Nauk SSSR249, 1095 (1979)Google Scholar
  19. 19.
    Zakharov, V. E., Manakov, S. V., Novikov, S. P., Pitajevsky, L. P.: The theory of solitons. Moscow: Nauk 1980Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • A. G. Izergin
    • 1
  • V. E. Korepin
    • 1
  1. 1.Leningrad Department of V. A. Steklov Mathematical InstituteLeningradUSSR

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