This book serves as an introduction of the offdiagonal 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 Rmatrix and Kmatrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous TQ 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 offdiagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, lowdimensional condensed matter physics, statistical physics and cold atom systems.
About Yupeng Wang
Prof. Yupeng Wang obtained his Ph.D in Condensed Matter Physics from Institute of Physics, Chinese Academy of Science (IOP CAS) in 1994. He joined IOP CAS as a professor in 1999, and has been the director of IOP since 2007. He is also the Vicepresident of Chinese Physical Society. His research interests include Exactly solvable models in statistical mechanics and solid state physics, Quantum manybody physics, Ultracold atomic physics and Condensed matter theory. He has published about 150 papers in SCI indexed journals. Prof. WenLi Yang obtained his Ph.D in Theoretical Physics from Northwest University of China in 1996. He was the Humboldt Foundation Research Fellow in Physikalisches Institut der Universitat Bonn during 20002002, Research Fellow in Kyoto University during 20022004, Research Associate/Fellow in University of Queensland during 20042009. Currently he is a professor in Northwest University in China. His main research areas are Infinitedimensional Lie (super) algebras, (Classical) Quantum integrable systems and strongly correlated fermion systems. He has published more than 90 refereed journal articles and 8 conference papers/book chapters. Prof. Junpeng Cao obtained his Ph.D in Theoretical Physics from Northwest University of China in 2001. He was a Postdoctoral fellow in IOP CAS during 20012003. He joined IOP in 2003, and was appointed as a professor of IOP in 2009. He mainly works on the field of Exactly solvable models in statistical mechanics and solid state physics. He has published 52 refereed journal articles. Prof. Kangjie Shi obtained his Ph.D in Theoretical Physics from University of Illinois at UrbanaChampaign in 1987. He joined Northwest University of China as a professor in 1987. He mainly works on quantum (super) groups and Quantum integrable systems. He has published more than 40 refereed journal articles.Details Book
Author  :  Yupeng Wang 
Publisher  :  SpringerVerlag Berlin and Heidelberg GmbH 
Data Published  :  04 May 2015 
ISBN  :  3662467550 
EAN  :  9783662467558 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  296 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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