Abstract <p> The <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(XXZ\)</EquationSource> </InlineEquation> Heisenberg spin chain is considered. We calculate the overlaps of the Bethe vectors corresponding to different anisotropy parameters. A sum formula for the overlap of off-shell Bethe vectors is obtained. We derive a recurrence relation for the highest coefficient. </p>

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Sum formula for the overlaps of Bethe vectors

  • N. A. Slavnov

摘要

Abstract

The \(XXZ\) Heisenberg spin chain is considered. We calculate the overlaps of the Bethe vectors corresponding to different anisotropy parameters. A sum formula for the overlap of off-shell Bethe vectors is obtained. We derive a recurrence relation for the highest coefficient.