Off-Diagonal Bethe Ansatz for Exactly Solvable Models

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Synopsis

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.

Book details

Edition:
2015
Author:
Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
ISBN:
9783662467565
Related ISBNs:
9783662467558
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2019-10-12
Usage restrictions:
Copyright
Copyright date:
2015
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Earth Sciences, Mathematics and Statistics, Nonfiction, Science