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Bethe Ansatz

Bethe Ansatz

Hardcover

Series: Cambridge Monographs on Mathematical Physics

Physics

ISBN10: 1009664816
ISBN13: 9781009664813
Publisher: Cambridge University Press
Published: May 7 2026
Pages: 608
Weight: 2.56
Height: 1.31 Width: 6.69 Depth: 9.61
Language: English
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.

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Physics