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

Theoretical and Mathematical Physics

Solutions of the Bethe ansatz equations for XXX antiferromagnet of arbitrary spin in the case of a finite number of sites

L.V. Avdeev, B. -D. Dörfel

Published May 1, 1987• 16 citations
Publisher
DOI
10.1007/bf01028653

Related papers

Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions

Junpeng Cao, Wen‐Li Yang, Kangjie Shi +1 more

arXiv:1306.1742•Nuclear Physics B•Jul 4, 2013•110 citations

The Bethe-ansatz equations for the isotropic Heisenberg antiferromagnet of arbitrary spin

L.V. Avdeev, B -D Dorfel

Nuclear Physics B•Jan 1, 1985•24 citations

Solutions to the Bethe Ansatz equations in the XXX Heisenberg model

K. Isler, Manu B. Paranjape

•Jan 1, 1993•0 citations

Bethe Ansatz for Heisenberg XXX Model

Shao-shiung Lin, Shi-shyr Roan

We investigate Bethe Ansatz equations for the one-dimensional spin-$\frac{1}{2}$ Heisenberg XXX chain with a special interest in a finite system. Solutions for the two-particle sector are obtained. The ground state in antiferromagnetic case has been analytically studied through the logarithmic form of Bethe Ansatz equations.

arXiv:cond-mat/9509183•Oct 2, 1995•1 citation

Classification of the string solutions of Bethe equations in an XXZ model of arbitrary spin

Anatol N. Kirillov, Nicolai Reshetikhin

Journal of Mathematical Sciences•Jan 1, 1988•6 citations

The lowest excitations in the spin-s XXX magnet and conformal invariance

L.V. Avdeev

The Bethe-ansatz equations for the integrable spin-s isotropic Heisenberg antiferromagnet are solved numerically at a finite number of sites N. The vacuum and the lowest singlet and triplet solutions are presented for s=1/2, . . ., 2 up to sN=240. Through extrapolation of the finite-size data, the central charge and anomalous dimensions of the scaling operators for the underlying conformal field theory are calculated and found to agree with the expected theoretical values. The status of the Bethe string hypothesis about the structure of the solutions is discussed based on the obtained computer data up to s=9/2.

Journal of Physics A Mathematical and General•May 21, 1990•12 citations
We investigate Bethe Ansatz equations for the one-dimensional spin-12\frac{1}{2}21​ Heisenberg XXX chain with a special interest in a finite system. Solutions for the two-particle sector are obtained. The ground state in antiferromagnetic case has been analytically studied through the logarithmic form of Bethe Ansatz equations.
The Bethe-ansatz equations for the integrable spin-s isotropic Heisenberg antiferromagnet are solved numerically at a finite number of sites N. The vacuum and the lowest singlet and triplet solutions are presented for s=1/2, . . ., 2 up to sN=240. Through extrapolation of the finite-size data, the central charge and anomalous dimensions of the scaling operators for the underlying conformal field theory are calculated and found to agree with the expected theoretical values. The status of the Bethe string hypothesis about the structure of the solutions is discussed based on the obtained computer data up to s=9/2.