Off-Diagonal Bethe Ansatz for Exactly Solvable Models

• Main Authors: Wang, Yupeng (Author), Yang, Wen-Li (Author), Cao, Junpeng (Author), Shi, Kangjie (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Subjects: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Condensed matter.; Mathematical Methods in Physics.; Condensed Matter Physics.; Quantum Field Theories, String Theory.; Mathematical Physics.

This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of...

Table of Contents:

• Overview
• The algebraic Bethe ansatz
• The periodic anisotropic spin-1/2 chains
• The spin-1/2 torus
• The spin-1/2 chain with arbitrary boundary fields
• The one-dimensional Hubbard model
• The nested off-diagonal Bethe ansatz
• The hierarchical off-diagonal Bethe Ansatz
• The Izergin-Korepin model.