Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Nonfiction, Science & Nature, Science, Physics, Solid State Physics, Mathematical Physics
Cover of the book Off-Diagonal Bethe Ansatz for Exactly Solvable Models by Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi, Springer Berlin Heidelberg
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Author: Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi ISBN: 9783662467565
Publisher: Springer Berlin Heidelberg Publication: April 21, 2015
Imprint: Springer Language: English
Author: Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
ISBN: 9783662467565
Publisher: Springer Berlin Heidelberg
Publication: April 21, 2015
Imprint: Springer
Language: English

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.

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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.

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