04027nam 22007455 450 991030042970332120200703140333.03-662-46756-910.1007/978-3-662-46756-5(CKB)3710000000402821(EBL)2094674(SSID)ssj0001501641(PQKBManifestationID)11830244(PQKBTitleCode)TC0001501641(PQKBWorkID)11446594(PQKB)11414451(DE-He213)978-3-662-46756-5(MiAaPQ)EBC2094674(PPN)185486002(EXLCZ)99371000000040282120150421d2015 u| 0engur|n|---|||||txtccrOff-Diagonal Bethe Ansatz for Exactly Solvable Models[electronic resource] /by Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi1st ed. 2015.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2015.1 online resource (303 p.)Description based upon print version of record.3-662-46755-0 Includes bibliographical references and index.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.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.PhysicsCondensed matterQuantum field theoryString theoryMathematical physicsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Condensed Matter Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25005Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Physics.Condensed matter.Quantum field theory.String theory.Mathematical physics.Mathematical Methods in Physics.Condensed Matter Physics.Quantum Field Theories, String Theory.Mathematical Physics.530530.14530.15530.41Wang Yupengauthttp://id.loc.gov/vocabulary/relators/aut1060169Yang Wen-Liauthttp://id.loc.gov/vocabulary/relators/autCao Junpengauthttp://id.loc.gov/vocabulary/relators/autShi Kangjieauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300429703321Off-Diagonal Bethe Ansatz for Exactly Solvable Models2511521UNINA