Advertisement

Functional Analysis and Its Applications

, Volume 15, Issue 2, pp 92–103 | Cite as

Baxter's equations and algebraic geometry

  • I. M. Krichever
Article

Keywords

Functional Analysis Algebraic Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    R. J. Baxter, "Partition function of the eight-vertex lattice model," Ann. Phys.,70, 193–228 (1972).Google Scholar
  2. 2.
    R. J. Baxter, "One-dimensional anisotropic Heisenberg chain," Ann. Phys.,70, 323–337 (1972).Google Scholar
  3. 3.
    R. J. Baxter, "Eight-vertex model in lattice statistics," Phys. Rev. Lett.,26, 832–833 (1971).Google Scholar
  4. 4.
    R. J. Baxter, "One-dimensional anisotropic Heisenberg chain," Phys. Rev. Lett.,26, 834 (1971).Google Scholar
  5. 5.
    R. J. Baxter, "Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I. Some fundamental eigenvectors," Ann. Phys.,76, 1–24 (1973).Google Scholar
  6. 6.
    W. Heisenberg, "Zur Theorie das Ferromagnetismus," Z. Phys.,49, No. 9, 10, 619–636 (1928).Google Scholar
  7. 7.
    L. D. Faddeev, "Completely integrable quantum models of field theory," Preprint Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst., Leningrad, P-2-79 (1979).Google Scholar
  8. 8.
    L. A. Takhtadzhyan and L. D. Faddeev, "The quantum method of the inverse problem and the Heisenberg XYZ model," Usp. Mat. Nauk,34, No. 5, 13–63 (1979) [Russian Math. Surveys,34, No. 5, 11–68 (1979)].Google Scholar
  9. 9.
    H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953, 1955).Google Scholar
  10. 10.
    I. M. Krichever, "Integration of nonlinear equations by methods of algebraic geometry," Funkts. Anal. Prilozhen.,11, No. 1, 15–32 (1977).Google Scholar
  11. 11.
    G. Springer, Introduction to Riemann Surfaces, Addison-Wesley, Reading, Mass. (1957).Google Scholar
  12. 12.
    W. Hodge, "The isolated singularities of an algebraic surface," Proc. London Math. Soc., Ser. 2,30, 133–143 (1929).Google Scholar
  13. 13.
    I. M. Krichever, "Commutative rings of linear ordinary differential operators," Funkts. Anal. Prilozhen.,12, No. 3, 20–31 (1978).Google Scholar
  14. 14.
    I. M. Krichever and S. P. Novikov, "Holomorphic bundles over Riemann surfaces and the Kadomtsev—Petviashvili equation. I," Funkts. Anal. Prilozhen.,12, No. 4, 41–52 (1978).Google Scholar
  15. 15.
    A. N. Tyurin, "The classification of some vector bundles over algebraic curves," Izv. Akad. Nauk SSSR, Ser. Mat.,29, 658–680 (1965).Google Scholar
  16. 16.
    B. Feldenhof, "Diagonalization of the transfer matrix of the free-fermion model," Physica,66, No. 2, 279–298 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • I. M. Krichever

There are no affiliations available

Personalised recommendations