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Off-Diagonal Bethe Ansatz for Exactly Solvable Models

By: Yupeng Wang,Wen-Li Yang,Junpeng Cao,Kangjie Shi

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Off-Diagonal Bethe Ansatz for Exactly Solvable Models

By: Yupeng Wang,Wen-Li Yang,Junpeng Cao,Kangjie Shi

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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Page Count

303

Publisher

Springer

Published Date

ISBN 10

3662467569

ISBN 13

9783662467565

Off-Diagonal Bethe Ansatz for Exactly Solvable Models

By: Yupeng Wang,Wen-Li Yang,Junpeng Cao,Kangjie Shi

Write a review Read reviews Take a Quiz Solve Book Puzzle

Off-Diagonal Bethe Ansatz for Exactly Solvable Models

By: Yupeng Wang,Wen-Li Yang,Junpeng Cao,Kangjie Shi

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

303

Publisher

Springer

Published Date

ISBN 10

3662467569

ISBN 13

9783662467565