LEADER 04027nam 22007455 450 001 9910300429703321 005 20200703140333.0 010 $a3-662-46756-9 024 7 $a10.1007/978-3-662-46756-5 035 $a(CKB)3710000000402821 035 $a(EBL)2094674 035 $a(SSID)ssj0001501641 035 $a(PQKBManifestationID)11830244 035 $a(PQKBTitleCode)TC0001501641 035 $a(PQKBWorkID)11446594 035 $a(PQKB)11414451 035 $a(DE-He213)978-3-662-46756-5 035 $a(MiAaPQ)EBC2094674 035 $a(PPN)185486002 035 $a(EXLCZ)993710000000402821 100 $a20150421d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOff-Diagonal Bethe Ansatz for Exactly Solvable Models$b[electronic resource] /$fby Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi 205 $a1st ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (303 p.) 300 $aDescription based upon print version of record. 311 $a3-662-46755-0 320 $aIncludes bibliographical references and index. 327 $aOverview -- 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. 330 $aThis 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. 606 $aPhysics 606 $aCondensed matter 606 $aQuantum field theory 606 $aString theory 606 $aMathematical physics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aCondensed Matter Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25005 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aPhysics. 615 0$aCondensed matter. 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aMathematical physics. 615 14$aMathematical Methods in Physics. 615 24$aCondensed Matter Physics. 615 24$aQuantum Field Theories, String Theory. 615 24$aMathematical Physics. 676 $a530 676 $a530.14 676 $a530.15 676 $a530.41 700 $aWang$b Yupeng$4aut$4http://id.loc.gov/vocabulary/relators/aut$01060169 702 $aYang$b Wen-Li$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCao$b Junpeng$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aShi$b Kangjie$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300429703321 996 $aOff-Diagonal Bethe Ansatz for Exactly Solvable Models$92511521 997 $aUNINA