Quantum inverse scattering method and algebraized matrix Bethe-Ansatz

1983 ◽  
Vol 23 (4) ◽  
pp. 2470-2486 ◽  
Author(s):  
L. A. Takhtadzhyan
Keyword(s):  
Bethe Ansatz ◽  
Inverse Scattering ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Quantum Inverse

scholarly journals Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution

1999 ◽  
Vol 59 (3) ◽  
pp. 375-390 ◽  
Author(s):  
Anthony J. Bracken ◽  
Xiang-Yu Ge ◽  
Yao-Zhong Zhang ◽  
Huan-Qiang Zhou
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Inverse Scattering ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Fermion Model ◽  
Quantum Inverse ◽  
Boundary Terms ◽  
Bethe Ansatz Solution ◽  
Two Parameter

The recently introduced two-parameter eight-state Uq [gl(3|1)] supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.

Various Approaches to Spectral Problems for Integrable Systems in the QISM

1997 ◽  
Vol 12 (01) ◽  
pp. 79-87 ◽  
Author(s):  
I. V. Komarov
Keyword(s):  
Functional Equation ◽  
Bethe Ansatz ◽  
Inverse Scattering ◽  
Integrable Systems ◽  
Separation Of Variables ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Integrals Of Motion ◽  
Quantum Inverse ◽  
Spectral Problems

Algebraic Bethe Ansatz, separation of variables and Baxter's method of functional equation are three main approaches to finding spectrum of commuting integrals of motion in the frame of quantum inverse scattering method. Their connections are discussed.

scholarly journals Integrable extended Hubbard models with boundary Kondo impurities

2001 ◽  
Vol 64 (3) ◽  
pp. 445-467
Author(s):  
Anthony J. Bracken ◽  
Xiang-Yu Ge ◽  
Mark D. Gould ◽  
Huan-Qiang Zhou
Keyword(s):  
Hilbert Space ◽  
Bethe Ansatz ◽  
Inverse Scattering ◽  
Magnetic Moments ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Ansatz Method ◽  
One Dimensional ◽  
Hubbard Models ◽  
Kondo Impurities

Three kinds of integrable Kondo impurity additions to one-dimensional q-deformed extended Hubbard models are studied by means of the boundary Z2-graded quantum inverse scattering method. The boundary K matrices depending on the local magnetic moments of the impurities are presented as nontrivial realisations of the reflection equation algebras in an impurity Hilbert space. The models are solved by using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained.

scholarly journals The quantum inverse scattering method with anyonic grading

2008 ◽  
Vol 41 (46) ◽  
pp. 465201 ◽  
Author(s):  
M T Batchelor ◽  
A Foerster ◽  
X-W Guan ◽  
J Links ◽  
H-Q Zhou
Keyword(s):  
Inverse Scattering ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Quantum Inverse
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