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Off-diagonal Bethe Ansatz for exactl...

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Off-diagonal Bethe Ansatz for exactly solvable models

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Off-diagonal Bethe Ansatz for exactly solvable modelsby Yupeng Wang ... [et al.].
其他作者:	Wang, Yupeng.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
面頁冊數:	xiv, 296 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Bethe-ansatz technique.
電子資源:	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.].
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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.
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