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Abstract <p> We consider a one-dimensional bosons model with point-wise interaction. We calculate the overlaps of Bethe vectors corresponding to different coupling constants. We obtain a sum formula for the overlap of off-shell Bethe vectors. A new formula for the overlap of eigenvectors of different Hamiltonians is also obtained. </p>

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Overlaps of Bethe vectors in the model of one-dimensional bosons

  • 期刊论文

  • 发表日期：

    2025年11月25日

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  • N. A. Slavnov

摘要

Abstract

We consider a one-dimensional bosons model with point-wise interaction. We calculate the overlaps of Bethe vectors corresponding to different coupling constants. We obtain a sum formula for the overlap of off-shell Bethe vectors. A new formula for the overlap of eigenvectors of different Hamiltonians is also obtained.