Off-Diagonal Bethe Ansatz for Exactly Solvable Models
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...
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2016
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oai:scholar.dlu.edu.vn:DLU123456789-599922023-11-11T07:01:53Z Off-Diagonal Bethe Ansatz for Exactly Solvable Models Wang, Y Yang, W.-L Cao, J Shi, K Many-body problem Yang-Baxter equation Bethe-ansatz technique 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. 2016-04-05T02:52:40Z 2016-04-05T02:52:40Z 2015 Book 978-3-662-46756-5 978-3-662-46755-8 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59992 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Many-body problem Yang-Baxter equation Bethe-ansatz technique |
| spellingShingle |
Many-body problem Yang-Baxter equation Bethe-ansatz technique Wang, Y Yang, W.-L Cao, J Shi, K Off-Diagonal Bethe Ansatz for Exactly Solvable Models |
| description |
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. |
| format |
Book |
| author |
Wang, Y Yang, W.-L Cao, J Shi, K |
| author_facet |
Wang, Y Yang, W.-L Cao, J Shi, K |
| author_sort |
Wang, Y |
| title |
Off-Diagonal Bethe Ansatz for Exactly Solvable Models |
| title_short |
Off-Diagonal Bethe Ansatz for Exactly Solvable Models |
| title_full |
Off-Diagonal Bethe Ansatz for Exactly Solvable Models |
| title_fullStr |
Off-Diagonal Bethe Ansatz for Exactly Solvable Models |
| title_full_unstemmed |
Off-Diagonal Bethe Ansatz for Exactly Solvable Models |
| title_sort |
off-diagonal bethe ansatz for exactly solvable models |
| publisher |
Springer |
| publishDate |
2016 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59992 |
| _version_ |
1819775784478310400 |