Introduction to the Bethe ansatz I
Statistical Mechanics
2007-05-23 v1
Abstract
The Bethe ansatz for the one-dimensional s=1/2 Heisenberg ferromagnet is introduced at an elementary level. The presentation follows Bethe's original work very closely. A detailed description and a complete classification of all two-magnon scattering states and two-magnon bound states are given for finite and infinite chains. The paper is designed as a tutorial for beginning graduate students. It includes 10 problems for further study.
Keywords
Cite
@article{arxiv.cond-mat/9809162,
title = {Introduction to the Bethe ansatz I},
author = {Michael Karbach and Gerhard Muller},
journal= {arXiv preprint arXiv:cond-mat/9809162},
year = {2007}
}
Comments
8 pages, 4 figures