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Correlators of the Ladder Spin Model in the Strong Coupling Limit

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Temperature and time dependent correlation functions of the spin―-1/2 ladder model with infinitely strong coupling are calculated. Bibliography: 34 titles.

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REFERENCES

  1. H. Bethe, Z. Phys. 71, 205–226 (1931).

    Google Scholar 

  2. A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov, in: Important Developments in Soliton Theory, Springer Ser. Nonlinear Dynamics, Springer (1993), pp. 407–417.

  3. C. A. Tracy and B. M. McCoy, Phys. Rev. Lett., 31, 1500–1504 (1973).

    Google Scholar 

  4. T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barough, Phys. Rev., B13, 316–374 (1976).

    Google Scholar 

  5. B. M. McCoy, C. A. Tracy, and T. T. Wu, J. Math. Phys., 18, 1058–1095 (1977).

    Google Scholar 

  6. M. Jimbo, T. Miwa, Y. Mori, and M. Sato Physica, D1, 80–158 (1980).

    Google Scholar 

  7. A. R. Its, A. G. Izergin, and V. E. Korepin, Phys. Lett., A141, 121–125 (1989).

    Google Scholar 

  8. A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov, Int. J. Mod. Phys., B4, 1003–1037 (1990).

    Google Scholar 

  9. V. E. Korepin, N. M. Bogolyubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge University Press (1993).

  10. A. Lenard, J. Math. Phys., 5, 930–943 (1964).

    Google Scholar 

  11. A. Lenard, J. Math. Phys., 7, 1268–1272 (1966).

    Google Scholar 

  12. L. D. Faddeev, Sov. Sci. Rev. Sect. C Math. Phys. Rev., 1, 107–155 (1980).

    Google Scholar 

  13. L. A. Takhtajan and L.D. Faddeev, Russian Math. Surveys, 34, 11–68 (1979).

    Google Scholar 

  14. E. K. Sklyanin, L. A. Takhtajan, and L. D. Faddeev, Teor. Mat. Fiz., 40, 194–220 (1979).

    Google Scholar 

  15. V. E. Korepin, Commun. Math. Phys., 113, 177–190 (1987).

    Google Scholar 

  16. T. Kojima, V. Korepin, and N. Slavnov, Commun. Math. Phys., 188, 657–689 (1997).

    Google Scholar 

  17. V. E. Korepin and N. A. Slavnov, Commun. Math. Phys., 129, 103–113 (1990).

    Google Scholar 

  18. F. Colomo, A. G. Izergin, V. E. Korepin, and V. Tognetti, Phys. Lett., A169, 243–247 (1992).

    Google Scholar 

  19. F. Colomo, A. G. Izergin, V. E. Korepin, and V. Tognetti, Theor. Math. Phys., 94, 11–38 (1993).

    Google Scholar 

  20. C. N. Yang, Phys. Rev. Lett., 19, 1312–1315 (1967).

    Google Scholar 

  21. M. Gaudin, Phys. Lett., A24, 55 (1967).

    Google Scholar 

  22. A. G. Izergin and A. G. Pronko, Phys. Lett., A236, 445–454 (1997).

    Google Scholar 

  23. A. G. Izergin and A. G. Pronko, Nucl. Phys., (B520), [FS] 594–632 (1998).

    Google Scholar 

  24. A. G. Izergin, A. R. Its, V. E. Korepin, and N. A. Slavnov, St. Petersburg Math. J., 6, 315–326 (1995).

    Google Scholar 

  25. F. Göhmann, A. G. Izergin, V. E. Korepin, and A. G. Pronko, Int. J. Mod. Phys., B12, 2409–2433 (1998).

    Google Scholar 

  26. F. Göhmann, A. R. Its, V. E. Korepin, “Correlations in the impenetrable electron gas, ” Preprint condmat/ 9809076 (1998).

  27. N. I. Abarenkova, A. G. Izergin, and A. G. Pronko, Zap. Nauchn. Semin. POMI, 249, 7–19 (1997).

    Google Scholar 

  28. A. G. Izergin, A. G. Pronko, and N. I. Abarenkova, Phys. Lett., A245, 537–547 (1998).

    Google Scholar 

  29. N. I. Abarenkova, A. G. Izergin, and A. G. Pronko, in: Quantum Theory in Honour of Vladimir A. Fock, Proceedings of the VIII Unesco International School of Physics. Ed. by Yuri Novozhilov. Published by Institute of Chemistry of St. Petersburg University, St. Petersburg (1998), pp. 250–270.

    Google Scholar 

  30. J. Hubbard, Proc. Roy. Soc., 276, 238 (1963).

    Google Scholar 

  31. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys., 16, 407–466 (1963).

    Google Scholar 

  32. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett., 1445–1448 (1968).

  33. A. Mielke, J. Stat. Phys., 62, 509–528 (1991).

    Google Scholar 

  34. S. Sarkar, J. Phys. A: Math. Gen. 24, 1137–1151 (1991).

    Google Scholar 

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Abarenkova, N.I., Izergin, A.G. & Pronko, A.G. Correlators of the Ladder Spin Model in the Strong Coupling Limit. Journal of Mathematical Sciences 104, 1087–1096 (2001). https://doi.org/10.1023/A:1011324220050

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