Inverse scattering method for one-dimensional inhomogeneous lossy medium by using a microwave networking technique

1995 ◽  
Vol 43 (8) ◽  
pp. 1773-1781 ◽  
Author(s):  
Tie Jun Cui ◽  
Chang Hong Liang
Keyword(s):  
Inverse Scattering ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
One Dimensional ◽  
Lossy Medium

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 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.

scholarly journals TERNARY CONFIGURATION IN THE FRAMEWORK OF INVERSE MEAN-FIELD METHOD

1999 ◽  
Vol 08 (04) ◽  
pp. 381-388 ◽  
Author(s):  
V. G. KARTAVENKO ◽  
A. SĂNDULESCU ◽  
W. GREINER
Keyword(s):  
Inverse Scattering ◽  
Single Particle ◽  
Mean Field ◽  
Field Method ◽  
Inverse Scattering Method ◽  
Ternary Fission ◽  
Scattering Method ◽  
One Dimensional ◽  
Field Approach ◽  
Hartree Fock

A static scission configuration in cold ternary fission has been considered in the framework of mean field approach. The inverse scattering method is applied to solve single-particle Schrödinger equation, instead of constrained selfconsistent Hartree–Fock equations. It is shown, that it is possible to simulate one-dimensional three-center system via inverse scattering method in the approximation of reflectless single-particle potentials.

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