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Gaudin Hypothesis for the XYZ Spin Chain

Condensed Matter 2008-11-26 v3 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra Exactly Solvable and Integrable Systems solv-int

Abstract

The XYZ spin chain is considered in the framework of the generalized algebraic Bethe ansatz developed by Takhtajan and Faddeev. The sum of norms of the Bethe vectors is computed and expressed in the form of a Jacobian. This result corresponds to the Gaudin hypothesis for the XYZ spin chain.

Keywords

Cite

@article{arxiv.cond-mat/9908326,
  title  = {Gaudin Hypothesis for the XYZ Spin Chain},
  author = {Yasuhiro Fujii and Miki Wadati},
  journal= {arXiv preprint arXiv:cond-mat/9908326},
  year   = {2008}
}

Comments

12 pages, LaTeX2e (+ amssymb, amsthm); to appear in J. Phys. A