scholarly journals Yangian symmetry and quantum inverse scattering method for the one-dimensional Hubbard model

1997 ◽  
Vol 227 (3-4) ◽  
pp. 216-226 ◽  
Author(s):  
Shuichi Murakami ◽  
Frank Göhmann
Keyword(s):  
Hubbard Model ◽  
Inverse Scattering ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
One Dimensional ◽  
Quantum Inverse ◽  
The One ◽  
Yangian Symmetry

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

scholarly journals Dynamical Generation of Solitons in a 1 + 1 Dimensional Chiral Field Theory: Non-Perturbative Dirac Operator Resolvent Analysis

1997 ◽  
Vol 12 (06) ◽  
pp. 1133-1142 ◽  
Author(s):  
Joshua Feinberg ◽  
A. Zee
Keyword(s):  
Field Theory ◽  
Dirac Operator ◽  
Inverse Scattering ◽  
Saddle Points ◽  
Inverse Scattering Method ◽  
Chiral Field ◽  
Scattering Method ◽  
One Dimensional ◽  
Dynamical Generation ◽  
Static Space

We analyze the 1 + 1 dimensional Nambu–Jona–Lasinio model non-perturbatively. We study non-trivial saddle points of the effective action in which the composite fields [Formula: see text] and [Formula: see text] form static space dependent configurations. These configurations may be viewed as one dimensional chiral bags that trap the original fermions ("quarks") into stable extended entities ("hadrons"). We provide explicit expressions for the profiles of some of these objects and calculate their masses. Our analysis of these saddle points, and in particular, the proof that the σ(x), π(x) condensations must give rise to a reflectionless Dirac operator, appear to us simpler and more direct than the calculations previously done by Shei, using the inverse scattering method following Dashen, Hasslacher, and Neveu.

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