Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz

2023/06/22 by G. Kulkarni, Kulkarni, G., N. A. Slavnov +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.2306.12932

openalex publication_date 2023/06/22 · openalex created_date 2023/06/24 · openalex updated_date 2026/07/28

Abstract

We consider an XYZ spin chain within the framework of the generalized algebraic Bethe ansatz. We study scalar products of the transfer matrix eigenvectors and arbitrary Bethe vectors. In the particular case of free fermions we obtain explicit expressions for the scalar products with different number of parameters in two Bethe vectors.

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