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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Wang, Yupeng (Autor), Yang, Wen-Li (Autor), Cao, Junpeng (Autor), Shi, Kangjie (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Off-Diagonal Bethe Ansatz for Exactly Solvable Models  |h [electronic resource] /  |c by Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi. 
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264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2015. 
300 |a XIV, 296 p. 9 illus., 3 illus. in color.  |b online resource. 
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505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematical physics. 
650 0 |a Condensed matter. 
650 0 |a Elementary particles (Physics). 
650 0 |a Quantum field theory. 
650 1 4 |a Mathematical Methods in Physics. 
650 2 4 |a Condensed Matter Physics. 
650 2 4 |a Elementary Particles, Quantum Field Theory. 
650 2 4 |a Mathematical Physics. 
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700 1 |a Cao, Junpeng.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Shi, Kangjie.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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