An Introduction to Integrable Techniques for One-Dimensional Quantum Systems

• Main Author: Franchini, Fabio (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Physics, 940
• Subjects: Physics.; Algebraic geometry.; Mathematical physics.; Condensed matter.; Mathematical Methods in Physics.; Mathematical Physics.; Condensed Matter Physics.; Algebraic Geometry.

This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperatu...

Table of Contents:

• The XY Chain
• The Lieb-Liniger Model
• The Heisenberg chain
• The XXZ Chain
• Algebraic Bethe Ansatz
• A Asymptotic behavior of Toeplitz Determinants
• B Two-Dimensional Classical Integrable Systems
• C Field theory and finite size effects
• References.