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Introduction to the Bethe Ansatz I

open access: yesComputers in Physics, 1997
The Bethe ansatz for the one-dimensional s=1/2 Heisenberg ferromagnet is introduced at an elementary level. The presentation follows Bethe's original work very closely. A detailed description and a complete classification of all two-magnon scattering states and two-magnon bound states are given for finite and infinite chains. The paper is designed as a
Michael Karabach   +3 more
openaire   +3 more sources

On the Six-Vertex Model's Free Energy. [PDF]

open access: yesCommun Math Phys, 2022
Duminil-Copin H   +4 more
europepmc   +1 more source

Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra

open access: yesNuclear Physics B
A quantum integrable spin chain model associated with the G2 exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained.
Guang-Liang Li   +5 more
doaj   +1 more source

Universal Bethe Ansatz and Scalar Products of Bethe Vectors

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U_q(^gl_3) is given.
Eric Ragoucy   +2 more
doaj   +1 more source

SIMPLIFICATION OF THERMODYNAMIC BETHE-ANSATZ EQUATIONS

open access: yesPhysics and Combinatorics, 2001
Thermodynamic Bethe ansatz equations for XXZ model at $| |\ge 1$ is simplified to an integral equation which has one unknown function. This equation is analytically continued to $| |<1$.
openaire   +2 more sources

Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors.
Ryu Sasaki, Wen-Li Yang, Yao-Zhong Zhang
doaj   +1 more source

Percolation Theories for Quantum Networks. [PDF]

open access: yesEntropy (Basel), 2023
Meng X   +6 more
europepmc   +1 more source

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