An introduction to the algebraic Bethe ansatz

The algebraic Bethe ansatz is one of the main
approaches to solving integrable models in
statistical mechanics. Although many publications
consider this important topic, most assume a
substantial prior knowledge on the part of the
reader. This book however provides a detailed
introduction to aspects of algebraic Bethe ansatz
without assuming any prior knowledge of the subject
matter. It is an ideal companion to any mathematics
student or researcher seeking to advance their
understanding of this fascinating area of
statistical mechanics. In particular, the book fully
explains all preliminaries in the context of the 8-
vertex model, including the solution of the Yang-
Baxter equations and also considers the special case
of the 6-vertex model in both the homogeneous and
inhomogeneous cases.

Autorentext

James Plunkett is a lawyer who studied at the University of Melbourne, Australia, where he completed a Bachelor of Laws and a Bachelor of Science(Honours). James focused on applied mathematics and statistical mechanics in his science degree. This book is based on James' honours thesis which he completed under the supervision of Dr Omar Foda.

Klappentext

The algebraic Bethe ansatz is one of the main approaches to solving integrable models in statistical mechanics. Although many publications consider this important topic, most assume a substantial prior knowledge on the part of the reader. This book however provides a detailed introduction to aspects of algebraic Bethe ansatz without assuming any prior knowledge of the subject matter. It is an ideal companion to any mathematics student or researcher seeking to advance their understanding of this fascinating area of statistical mechanics. In particular, the book fully explains all preliminaries in the context of the 8-vertex model, including the solution of the Yang-Baxter equations and also considers the special case of the 6-vertex model in both the homogeneous and inhomogeneous cases.