Bethe's Quantum Numbers And Rigged Configurations
Mathematical Physics
2016-03-17 v3 math.MP
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).
Keywords
Cite
@article{arxiv.1509.02305,
title = {Bethe's Quantum Numbers And Rigged Configurations},
author = {Anatol N. Kirillov and Reiho Sakamoto},
journal= {arXiv preprint arXiv:1509.02305},
year = {2016}
}
Comments
16 pages. Supplementary tables are included in the source file. (v2) New example at pages 8--9. (v3) Final version with minor revision