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The Algebraic Bethe Ansatz and the Correlation Functions of the Heisenberg Magnet

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Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

Part of the book series: NATO Science Series ((NAII,volume 35))

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Abstract

We consider the correlation functions of the XXZ Heisenberg magnet in the framework of the Algebraic Bethe Ansatz. The results are given for finite and infinite chains and for arbitrary values of the anisotropy parameter Δ and external magnetic field. We basically study certain simple specific examples rather than the general case of the correlation function.

On leave of absence from Steklov Institute at St. Petersburg, Fontanka 27, St. Petersburg, Russia

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK

    N. A. Kitanine

  2. Steklov Mathematical Institute, Gubkina 8, Moscow, 117966, Russia

    N. A. Slavnov

Authors
  1. N. A. Kitanine
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  2. N. A. Slavnov
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Editor information

Editors and Affiliations

  1. Joint Institute for Nuclear Research, Laboratory of Theoretical Physics, Dubna, Russia

    S. Pakuliak

  2. Physikalisches Institut, Universität Bonn, Germany

    G. von Gehlen

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© 2001 Springer Science+Business Media Dordrecht

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Kitanine, N.A., Slavnov, N.A. (2001). The Algebraic Bethe Ansatz and the Correlation Functions of the Heisenberg Magnet. In: Pakuliak, S., von Gehlen, G. (eds) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. NATO Science Series, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0670-5_15

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  • DOI: https://doi.org/10.1007/978-94-010-0670-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7184-7

  • Online ISBN: 978-94-010-0670-5

  • eBook Packages: Springer Book Archive

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