The quantum inverse scattering method for Hubbard-like models

The Quantum Inverse Scattering Method for Hubbard - like Models

This work is concerned with various aspects of the formulation of the quantum inverse scattering method for the one-dimensional Hubbard model. We first establish the essential tools to solve the eigenvalue problem for the transfer matrix of the classical " covering " Hubbard model within the algebraic Bethe Ansatz framework. The fundamental commutation rules exhibit a hidden 6-vertex symmetry w...

Yangian Symmetry and Quantum Inverse Scattering Method for the One-Dimensional Hubbard Model

We develop the quantum inverse scattering method for the one-dimensional Hubbard model on the infinite interval at zero density. R-matrix and monodromy matrix are obtained as limits from their known counterparts on the finite interval. The R-matrix greatly simplifies in the considered limit. The new R-matrix contains a submatrix which turns into the rational R-matrix of the XXX-chain by an appr...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Generalized Quantum Inverse Scattering

A generalization of the quantum inverse scattering method is proposed replacing the quantum group RLL commutation relations of Lax operators by reflection equation type RLRL commutation relations. Under some natural assumptions the most general algebra of this type allowing to construct the neccessary integrals of ⋆ Supported by the Science and Technology Fellowship Programme for Japan under th...

Inverse scattering problem for quantum graph vertices