This site presents a collection of online resources on the Bethe Ansatz and related concepts used in the study of integrable models of quantum mechanics.

The aim is to provide a compendium of models, methods and results on these (in many ways) exceptional many-body systems, in order to make their fascinating physics accessible to a wider audience.

From the reader, a minimal undergraduate-level knowledge of quantum mechanics and of statistical mechanics is assumed. The material is presented in gradually increasing levels of difficulty: important concepts and methods are first introduced using the simplest available model, and therafter adapted or extended to others. Material of a more advanced or specialized nature is relegated to higher-level subsections.

You will find more details on the style and format in the Notes to the reader section.

This site is (and will remain) an open-ended construction project.

In this section:

• Introductioni
• Models and eigenstates: the Coordinate Bethe Ansatzc
• Ground states: identification, properties and excitationsg
• Equilibrium at finite \(T\): the Thermodynamic Bethe Ansatze
• The Algebraic Bethe Ansatza
• Dynamical correlation functionsd
• Integrability out of equilibriumo
• Literaturel

Except where otherwise noted, all content is licensed under a Creative Commons Attribution 4.0 International License.