Bethe ansatz / Gleb Arutyunov.

Format:

Book

Author/Creator:

Arutyunov, Gleb, 1968- Author.

Series:

Cambridge monographs on mathematical physics.

Cambridge monographs on mathematical physics

Language:

English

Subjects (All):

Bethe-ansatz technique.

Physical Description:

1 online resource (xxiv, 582 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge ; New York, NY : Cambridge University Press, 2026.

Summary:

The Bethe Ansatz is a powerful method in the theory of quantum integrable models, essential for determining the energy spectrum of dynamical systems - from spin chains in magnetism to models in high-energy physics. This book provides a comprehensive introduction to the Bethe ansatz, from its historical roots to modern developments. First introduced by Hans Bethe in 1931, the method has evolved into a universal framework encompassing algebraic, analytic, thermodynamic, and functional forms. The book explores various Bethe ansatz techniques and their interrelations, covering both coordinate and algebraic versions, with particular attention to nested structures and functional relations involving transfer matrices. Advanced tools such as the separation of variables method are presented in detail. With a wealth of worked examples and precise calculations, this volume serves as an accessible and rigorous reference for graduate students and researchers in mathematical physics and integrable systems.

Contents:

Classical integrable systems

Bethe wave function and Smatrix

Coordinate Bethe ansatz

Transfer matrix method

Nested coordinate Bethe ansatz

Algebraic approach to factorized scattering

Algebraic Bethe ansatz

Functional methods

Separation of variables.

Notes:

Title from publisher's bibliographic system (viewed on 28 Apr 2026).

ISBN:

1-009-66483-2