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Off-diagonal Bethe Ansatz for exactl...

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Off-diagonal Bethe Ansatz for exactly solvable models

Record Type:	Electronic resources : Monograph/item
Title/Author:	Off-diagonal Bethe Ansatz for exactly solvable modelsby Yupeng Wang ... [et al.].
other author:	Wang, Yupeng.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xiv, 296 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Bethe-ansatz technique.
Online resource:	http://dx.doi.org/10.1007/978-3-662-46756-5
ISBN:	9783662467565 (electronic bk.)

Off-diagonal Bethe Ansatz for exactly solvable models
Off-diagonal Bethe Ansatz for exactly solvable models[electronic resource] /by Yupeng Wang ... [et al.]. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xiv, 296 p. :ill., digital ;24 cm.

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.

ISBN: 9783662467565 (electronic bk.)

Standard No.: 10.1007/978-3-662-46756-5doiSubjects--Topical Terms:

377424
Bethe-ansatz technique.

LC Class. No.: QC20.7.B47

Dewey Class. No.: 530.15

Off-diagonal Bethe Ansatz for exactly solvable models
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245 0 0 $a Off-diagonal Bethe Ansatz for exactly solvable models $h [electronic resource] / $c by Yupeng Wang ... [et al.].
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2015.
300 $a xiv, 296 p. : $b ill., digital ; $c 24 cm.
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 Bethe-ansatz technique. $3 377424
650 0 $a Yang-Baxter equation. $3 719920
650 0 $a Many-body problem. $3 207887
650 0 $a Quantum groups. $3 190852
650 0 $a Mathematical physics. $3 190854
650 1 4 $a Physics. $3 179414
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Condensed Matter Physics. $3 376278
650 2 4 $a Quantum Field Theories, String Theory. $3 389186
650 2 4 $a Mathematical Physics. $3 522725
700 1 $a Wang, Yupeng. $3 719919
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-46756-5
950 $a Physics and Astronomy (Springer-11651)