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Correlation function of fields in one-dimensional Bose-gas

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Abstract

Correlation function of fields is presented as a Fredholm minor, at finite coupling constant in one-dimensional Bose gas.

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References

  1. Lenard, A.: One-dimensional impenetrable bosons in thermal equilibrium. J. Math. Phys.7, 1268–1272 (1966)

    Google Scholar 

  2. Jimbo, M., Miwa, T., Mori, Y., Sato, M.: Density matrix of an impenetrable Bose gas and the fifth Painleve transcendent. Physica D1, 80–158 (1980)

    Google Scholar 

  3. Its, A.R., Izergin, A.G., Korepin, V.E.: Long-distance asymptotics of temperature correlators of Impenetrable bose gas. Commun. Math. Phys.130, 471–488 (1990)

    Google Scholar 

  4. Its, A.R., Izergin, A.G., Korepin, V.E., Slavnov, N.A.: Differential equations for quantum correlation functions. Int. J. Mod. Phys. B4, 1003–1037 (1990)

    Google Scholar 

  5. Izergin, A.G., Korepin, V.E.: The quantum inverse scattering method approach to correlation functions. Commun. Math. Phys.113, 117–190 (1987)

    Google Scholar 

  6. Korepin, V.E.: Generating functional of correlation functions for nonlinear Schrödinger equation. Funct. Anal.23 (1), 15–23 (1989)

    Google Scholar 

  7. Korepin, V.E.: Calculations of norms of Bethe wave functions. Commun. Math. Phys.86, 391–418 (1982)

    Google Scholar 

  8. Bogoliubov, N.M., Korepin, V.E.: Correlation functions of one-dimensional Bose gas in thermal equilibrium. Theor. Math. Phys.60, (2), 262–269 (1984)

    Google Scholar 

  9. Korepin, V.E., Slavnov, N.A.: The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. Commun. Math. Phys.129, 103 (1990)

    Google Scholar 

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Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York at Stony Brook, 11794-3840, Stony Brook, NY, USA

    V. E. Korepin & N. A. Slavnov

Authors
  1. V. E. Korepin
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  2. N. A. Slavnov
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Communicated by N.Yu. Reshetikhin

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Korepin, V.E., Slavnov, N.A. Correlation function of fields in one-dimensional Bose-gas. Commun.Math. Phys. 136, 633–644 (1991). https://doi.org/10.1007/BF02099079

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  • DOI: https://doi.org/10.1007/BF02099079

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