Thermodynamics Of One Dimensional Solvable Models
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Thermodynamics of One-Dimensional Solvable Models
Author: Minoru Takahashi
language: en
Publisher: Cambridge University Press
Release Date: 1999-03-28
Written by a top physicists in this field, this 1999 book will be of interest to researchers working in theoretical condensed matter physics.
The One-Dimensional Hubbard Model
Author: Fabian H. L. Essler
language: en
Publisher: Cambridge University Press
Release Date: 2005-02-07
This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.
Off-Diagonal Bethe Ansatz for Exactly Solvable Models
This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.