Hypotheses regarding Baxter's $T-Q$ relation for the periodic XYZ chain
Xin Zhang
TL;DR
This paper investigates Baxter's $T-Q$ relation for the periodic XYZ chain through extensive numerical analysis, proposing hypotheses to address open questions about the relation and the model.
Contribution
It introduces new numerical hypotheses about Baxter's $T-Q$ relation for the XYZ chain, advancing understanding of its properties.
Findings
Numerical evidence supporting new hypotheses about the $T-Q$ relation.
Insights into the structure of Bethe ansatz equations for the XYZ chain.
Proposals for resolving open questions in Baxter's relation.
Abstract
Baxter's relation for the periodic spin- XYZ chain is studied. We extensively perform numerical calculations for the relation and the Bethe ansatz equations. Numerical based hypotheses are then proposed to answer some open questions regarding Baxter's relation and the XYZ chain.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality