Where are the roots of the Bethe Ansatz equations?

DOI10.1016/j.physleta.2015.07.016zbMath1349.82019arXiv1502.05316OpenAlexW1834165431MaRDI QIDQ341261

A. Lima-Santos, R. S. Vieira

Publication date: 16 November 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05316

zbMATH Keywords

algebraic Bethe ansatzBethe Ansatz equationsself-inversive polynomialssalem polynomials

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ Analytical and combinatorial aspects of the eigenproblem for the two-magnon sector of XXX Heisenberg rings ⋮ Boundary algebraic Bethe Ansatz for a nineteen vertex model withU_q  [osp(2|2)⁽²⁾ symmetry] ⋮ On the number of roots of self-inversive polynomials on the complex unit circle ⋮ Algebraic geometry and Bethe ansatz. I: The quotient ring for BAE ⋮ Solutions of the Yang–Baxter equation for (n + 1) (2n + 1)-vertex models using a differential approach

Cites Work

• On the number of roots of self-inversive polynomials on the complex unit circle
• Completeness of the Bethe ansatz for the six- and eight-vertex models.
• Exactly solvable models in atomic and molecular physics
• Completing Bethe's equations at roots of unity.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Where are the roots of the Bethe Ansatz equations?