Skip to main content
SpringerLink
Log in

Relativistically invariant quasiclassical limits of integrable two-dimensional quantum models

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. E. K. Sklyanin, “On complete integrability of the Landau-Lifshitz equation,” Preprint LOMI E-3-1979 [in English], Leningrad Branch, V. A. Steklov Mathematics Institute, USSR Academy of Sciences, Leningrad (1979).

    Google Scholar 

  2. C. N. Yang, “S-matrix for the one-dimensional n-body problem with repulsive or attractive δ-function interaction,” Phys. Rev.,168, 1920 (1968).

    Google Scholar 

  3. V. E. Zakharov and A. V. Mikhailov, “Relativistically invariant two-dimensional field theory models which can be integrated by the inverse scattering technique,” Zh. Eksp. Teor. Fiz.,74, 1953 (1978).

    Google Scholar 

  4. R. J. Baxter, “Partition function of the eight-vertex lattice model,” Ann. Phys. (N. Y.),70, 193 (1972).

    Google Scholar 

  5. E. K. Sklyanin, L. A. Takhtadzhyan, and L. D. Faddeev, “Quantum inverse scattering method. I,” Preprint LOMI R-I-79 [in Russian], Leningrad Branch, V. A. Steklov Mathematics Institute, USSSR Academy of Sciences, Leningrad (1979).

    Google Scholar 

  6. L. A. Takhtadzhyan and L. D. Faddeev, “Quantum inverse problem method,” Usp. Mat. Nauk,34, 14 (1979).

    Google Scholar 

  7. L. D. Faddeev, “Quantum completely integrable field theory models”, Preprint LOMI R-2-79 [in Russian], Leningrad Branch, V. A. Steklov Mathematics Institute, USSR Academy of Sciences, Leningrad (1979).

    Google Scholar 

  8. D. J. Kaup, “The method of solution for stimulated Raman scattering and two-photon absorption,” Preprint, Clarkson College of Technology, April (1980).

  9. A. B. Shabat, “The inverse scattering problem”, Dif. Uravneniya,15, 1824 (1979).

    Google Scholar 

  10. E. K. Sklyanin, “Quantum variant of the inverse scattering problem”, Author's Abstract of Candidate's Dissertation [in Russian], Leningrad Branch, V. A. Steklov Mathematics Institute, USSR Academy of Sciences, Leningrad (1980).

    Google Scholar 

  11. A. M. Polyakov, “String representation and hidden symmetries for gauge fields”, Phys. Lett. B,82, 247 (1979).

    Google Scholar 

  12. B. Sutherland, “Model for a multicomponent quantum system”, Phys. Rev. B,12, 3795 (1975).

    Google Scholar 

  13. P. P. Kulish and N. V. Reshetikhin, “Generalized Heisenberg ferromagnet and the Gross-Neveu model”, Preprint LOMI E-4-79 [in English], Leningrad Branch, V. A. Steklov Mathematics Institute, USSR Academy of Sciences, Leningrad (1979).

    Google Scholar 

Download references

Authors
  1. I. V. Cherednik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 47, No. 2, pp. 225–229, May, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cherednik, I.V. Relativistically invariant quasiclassical limits of integrable two-dimensional quantum models. Theor Math Phys 47, 422–425 (1981). https://doi.org/10.1007/BF01086395

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086395

Keywords

Search

Navigation