English

Q-systems with boundary parameters

High Energy Physics - Theory 2020-08-26 v4 Mathematical Physics math.MP

Abstract

Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q-systems using novel Wronskian-type formulas (relating the fundamental Q-function and its dual) that involve the boundary parameters.

Keywords

Cite

@article{arxiv.1912.12702,
  title  = {Q-systems with boundary parameters},
  author = {Rafael I. Nepomechie},
  journal= {arXiv preprint arXiv:1912.12702},
  year   = {2020}
}

Comments

19 pages; v2: references added, misprints corrected; v3: references and an appendix added, title slightly changed; v4: another appendix added, version to appear in JPhysA

R2 v1 2026-06-23T12:58:30.666Z