Bethe's Quantum Numbers And Rigged Configurations
arXiv:1509.02305 · doi:10.1016/j.nuclphysb.2016.02.020
Abstract
We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quantum numbers within each string behave particularly nicely. We confirm our procedure for all solutions for length 12 chain (totally 923 solutions).
16 pages. Supplementary tables are included in the source file. (v2) New example at pages 8--9. (v3) Final version with minor revision
References in corpus (8)
- On the completeness of solutions of Bethe's equations
- Deformed strings in the Heisenberg model
- Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations
- Kirillov--Schilling--Shimozono bijection as energy functions of crystals
- Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model
- Exact quantum numbers of collapsed and non-collapsed 2-string solutions in the Heisenberg spin chain
- Heisenberg model and Rigged Configurations
- Rigged Configurations Approach For The Spin-1/2 Isotropic Heisenberg Model