Off-diagonal Bethe Ansatz for exactly solvable models [electronic resource] / Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi.
Wang, Yupeng, author.; Yang, Wen-Li, author.; Cao, Junpeng, author.; Shi, Kangjie, author.
2015
QC20.7.B47
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Title Off-diagonal Bethe Ansatz for exactly solvable models [electronic resource] / Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi.
ISBN 9783662467565 electronic book
3662467569 electronic book
9783662467558
DOI https://doi.org/10.1007/978-3-662-46756-5
Published Heidelberg ; New York : Springer, [2015]
Language English
Description 1 online resource.
Item Number 10.1007/978-3-662-46756-5 doi
Call Number QC20.7.B47
Dewey Decimal Classification 530.15
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Wang, Yupeng, author.
Yang, Wen-Li, author.
Cao, Junpeng, author.
Shi, Kangjie, author.
Available in Other Form Print version: 9783662467558
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Overview
The algebraic Bethe ansatz
The periodic anisotropic spin-1/2 chains
The spin-1/2 torus
The spin-1/2 chain with arbitrary boundary fields
The one-dimensional Hubbard model
The nested off-diagonal Bethe ansatz
The hierarchical off-diagonal Bethe Ansatz
The Izergin-Korepin model.

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