Introduction to the Bethe ansatz I
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 1998
- DOI:
- 10.48550/arXiv.cond-mat/9809162
- arXiv:
- arXiv:cond-mat/9809162
- Bibcode:
- 1998cond.mat..9162K
- Keywords:
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- Statistical Mechanics
- E-Print:
- 8 pages, 4 figures