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Off-Diagonal Bethe Ansatz for Exactly Solvable Models [[electronic resource] /] / by Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi



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Autore: Wang Yupeng Visualizza persona
Titolo: Off-Diagonal Bethe Ansatz for Exactly Solvable Models [[electronic resource] /] / by Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (303 p.)
Disciplina: 530
530.14
530.15
530.41
Soggetto topico: Physics
Condensed matter
Quantum field theory
String theory
Mathematical physics
Mathematical Methods in Physics
Condensed Matter Physics
Quantum Field Theories, String Theory
Mathematical Physics
Persona (resp. second.): YangWen-Li
CaoJunpeng
ShiKangjie
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Off-Diagonal Bethe Ansatz for Exactly Solvable Models  Visualizza cluster
ISBN: 3-662-46756-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300429703321
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