Off-diagonal Bethe Ansatz for exactly solvable models [electronic resource] / Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi.

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Off-diagonal Bethe Ansatz for exactly solvable models [electronic resource] / Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi.

9783662467565 electronic book
3662467569 electronic book
9783662467558

Heidelberg ; New York : Springer, [2015]

English

1 online resource.

10.1007/978-3-662-46756-5 doi

QC20.7.B47

530.15

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.

Includes bibliographical references and index.

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Print version: 9783662467558

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