Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Physical Society of Japan

Bethe Ansatz Equation and Order Parameter

Kiyoshi Sogo

Published Apr 15, 1995• 0 citations
Publisher
DOI
10.1143/jpsj.64.1431

Related papers

Differential equations for general SU ( n ) Bethe ansatz systems

Patrick Dorey, Clare Dunning, Roberto Tateo

We show that SU(n) Bethe Ansatz equations with arbitrary `twist' parameters are hidden inside certain nth order ordinary differential equations, and discuss various consequences of this fact.

arXiv:hep-th/0008039•Journal of Physics A Mathematical and General•Nov 17, 2000•69 citations

The Bethe Ansatz Equation

Chapman & Hall/CRC research notes in mathematics series•Jan 28, 2004•0 citations

Exceptional solutions to the Bethe ansatz equations

L.V. Avdeev, Alexey A. Vladimirov

Theoretical and Mathematical Physics•Nov 1, 1986•50 citations

Differential equations for general SU(n) Bethe ansatz systems

Patrick Dorey, Clare Dunning, Roberto Tateo

We show that SU(n) Bethe Ansatz equations with arbitrary `twist' parameters are hidden inside certain nth order ordinary differential equations, and discuss various consequences of this fact.

•Jan 1, 2000•0 citations

A simple derivation of the higher-level Bethe ansatz equations

B -D Dorfel, Alexey A. Vladimirov

Physics Letters A•Apr 1, 1989•0 citations

Algebraic Bethe ansatz for the gl(1|2) generalized model and Lieb-Wu equations

Frank Göhmann, Er Seel, Fachbereich Physik

We solve the gl(1|2) generalized model by means of the algebraic Bethe ansatz. The resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three complex functions, called the parameters of the generalized model. Specifying the parameters appropriately, we obtain the Bethe ansatz equations of the supersymmetric t-J model, the Hubbard model, or of Yang’s model of electrons with delta interaction. This means that the Bethe ansatz equations of these (and many other) models can be obtained from a common algebraic source, namely from the Yang-Baxter algebra generated by the gl(1|2) invariant R-matrix.

•Jul 26, 2013•17 citations
We solve the gl(1|2) generalized model by means of the algebraic Bethe ansatz. The resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three complex functions, called the parameters of the generalized model. Specifying the parameters appropriately, we obtain the Bethe ansatz equations of the supersymmetric t-J model, the Hubbard model, or of Yang’s model of electrons with delta interaction. This means that the Bethe ansatz equations of these (and many other) models can be obtained from a common algebraic source, namely from the Yang-Baxter algebra generated by the gl(1|2) invariant R-matrix.