Functional Methods for the Solution of One-Dimensional Quantum Systems

Fusion Hierarchy, Functional Bethe Ansatz and Non-Linear Integral Equations

Autori

• Tobias Wirth

Parametri

• 124 pagine
• 5 ore di lettura

• Fisica
• Scienze Naturali
• Spazio e astronomia

Maggiori informazioni sul libro

The book explores the Quantum Inverse Scattering Method applied to the XXX and XXZ spin chains with various boundary fields. It emphasizes the algebraic framework combining Yang-Baxter and Reflection algebras, addressing both diagonal and non-diagonal boundary conditions. While diagonal fields have been extensively studied through the algebraic Bethe ansatz, the author extends these findings to arbitrary chain lengths via non-linear integral equations. For non-diagonal fields, the separation of variables method is utilized, and a fusion hierarchy approach is introduced to derive non-linear integral equations for eigenvalue extraction.

Lingua: Inglese

Pubblicato: 2015

(In brossura)