Advertisement

Quantum inverse scattering method and correlation functions

  • N. M. Bogoliubov
  • A. G. Izergin
  • V. E. Korepin
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 242)

Keywords

Matrix Element Poisson Bracket Thermodynamical Limit Monodromy Matrix Strong Coupling Limit 
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.

References

  1. 1.
    Faddeev, L.D., Sklyanin E.K.: Dokl.Akad.Nauk SSSR 243, 1430–1433 (1978)Google Scholar
  2. 2.
    Faddeev, L.D.: LOMI-preprint P-2-79, Leningrad, 1979 and Sov. Sci.Rev., Math.Phys.C1, 107–160 (1981)Google Scholar
  3. 3.
    Bethe, H.: Zeit.Phys. 71, 205–226 (1931)CrossRefGoogle Scholar
  4. 4.
    Lieb, E.H., Liniger, W.: Phys.Rev. 130, 1605–1616 (1963)CrossRefGoogle Scholar
  5. 5.
    Gaudin, M.: Preprint, Centre d'Etudes Nucleaires de Saclay, CEA-N-1559, (1), (1972)Google Scholar
  6. 6.
    Faddeev, L.D., Takhtajan, L.A.: Usp.Mat.Nauk. 34, 13–63 (1979)Google Scholar
  7. 7.
    Korepin, V.E.: Commun.Math.Phys. 86, 391–418 (1982)CrossRefGoogle Scholar
  8. 8.
    Izergin, A.G., Korepin, V.E.: Commun.Math.Phys. 94, 67–92 (1984)CrossRefGoogle Scholar
  9. 9.
    Korepin, V.E.: Commun.Math.Phys. 94, 93–113 (1984)CrossRefGoogle Scholar
  10. 10.
    Bogoliubov, N.M., Korepin V.E.: Teor.i Mat.Fiz. 60, 262–269 (1984)Google Scholar
  11. 11.
    Lieb, E.H.: Phys.Rev. 130, 1616–1624 (1963)CrossRefGoogle Scholar
  12. 12.
    Yang, C.N., Yang, C.P.: J.Math.Phys. 10, 1115–1122 (1969)CrossRefGoogle Scholar
  13. 13.
    Berezin, F.A., Pokhil, C.P., Finkelberg, V.M.: Vest.Mos. Goz. Univ.Ser.1.1,21–28 (1964)Google Scholar
  14. 14.
    Me-Guire, J.B.: J.Math.Phys. 5, 622–636 (1964)CrossRefGoogle Scholar
  15. 15.
    Brezin, E., Zinn-Justin, J.: C.R.Acad.Sci.(Paris) 263, 670–673 (1966)Google Scholar
  16. 16.
    Gaudin, M.: La fonction d'onde de Bethe pour les modules exacts de la méchanique statistic. Paris, Commisariat a l'energie atomique 1983.Google Scholar
  17. 17.
    Korepin, V.E.: Teor.Mat.Fiz. 41, 169–189 (1979)Google Scholar
  18. 18.
    Kulish, P.P., Sklyanin, E.K.: Integrable quantum field theories. Lect.Notes in Phys. 151, 61–119 (1982)Google Scholar
  19. 19.
    Izegin, A.G., Korepin, V.E.: Fizika Ehlemnetarnykh Chastits I Atomnogo Yadra 13(3), 207–223 (1982)Google Scholar
  20. 20.
    Lenard, A.: J.Math.Phys.5, 930–943 (1964); J.Math.Phys.7, 1268–1272 (1966)CrossRefGoogle Scholar
  21. 21.
    Jimbo, M., Miwa, T., Mori, Y., Sato, M.: Physics, D1, 80–158 (1980)Google Scholar
  22. 22.
    Zakharov, V.E., Manakov, S.V., Novikov, S.P., Pitajevskij, L.P.: Theory of Solitons. Moskva, Nauka, 1980.Google Scholar
  23. 23.
    Zakharov, V.E., Shabat, A.B.: Zh.Exp.Teor.Fiz. 61, 118–134 (1971)Google Scholar
  24. 24.
    Sklyanin, E.V.: LOMI-preprint E-3-1979, Leningrad, 1979.Google Scholar
  25. 25.
    Izergin, A.G., Korepin, V.E.: Dokl.Akad.Nauk SSSR 259, 76–79 (1981)Google Scholar
  26. 26.
    Izergin, A.G., Korepin, V.E.: Nucl.Phys.B205 [FS5], 401–413 (1982)CrossRefGoogle Scholar
  27. 27.
    Sklyanin, E.K.: Dokl.Akad.Nauk SSSR 244, 1337–1341 (1978); Zap. Nauchn.Seminarov LOMI 95,55-128 (1980)Google Scholar
  28. 28.
    Izergin, A.G., Korepin, V.E., Smirnov F.A.: Teor.Math.Fiz. 48, 319–323 (1981)Google Scholar
  29. 29.
    Smirnov, P.A.: Dokl.Akad.Nauk SSSR 262, 78–83 (1982)Google Scholar
  30. 30.
    Izergin, A.G., Korepin, V.E.: Lett.Math.Phys.6, 283–288 (1982)CrossRefGoogle Scholar
  31. 31.
    Heisenberg, W.: Zeit.Phys.49, 619–636 (1928)CrossRefGoogle Scholar
  32. 32.
    Korepin, V.E.: Dokl.Akad.Nauk SSSR 265, 1361–1364 (1982)Google Scholar
  33. 33.
    Izergin, A.G., Korepin, V.E.: Lett.Math.Phys. 8, 259–265 (1984)CrossRefGoogle Scholar
  34. 34.
    Greamer, D.B., Thaker, H.B., Wilkinson, D.: Phys.Rev.D21, 1523–1528 (1980)Google Scholar
  35. 35.
    Popov, V.N.: Functional integrals in quantum field theory and statistical physics. D.Reidel Publishing Company, Dordrecht 1983Google Scholar
  36. 36.
    Izergin, A.G., Korepin, V.E.: Commun.Math.Phys. (1985)Google Scholar
  37. 37.
    Gelfand, I.M., Levitan, B.M.: Dokl.Akad.Nauk SSSR 88, 593–596 (1953)Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • N. M. Bogoliubov
    • 1
  • A. G. Izergin
    • 1
  • V. E. Korepin
    • 1
  1. 1.Leningrad Department of V.A.SteklovMathematical Institute of the Academy of ScienceUSSR

Personalised recommendations